Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer 1

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]


Related Questions

hihi! can you help me please? Giving brainleist to the best/correct awnser :))

Solve for x
9(3−2x)=2(10−8x)

Answers

Answer:

x= 2/7

Step-by-step explanation:

i think that's the answer jdmsmzmsms

Answer:

Step-by-step explanation:

x=7/2

PLEASE ANSWER THE QUESTION ASAP!!!!

Answers

Answer:

B

Step-by-step explanation:

Solve for x given the lines are parallel.
(7x - 8)
62°

Answers

Answer:

The answer is 0 ✌

Step-by-step explanation:

70 - 8 =62°

7 × (-5) is equivalent to?
2
-35
35
-12

Answers

Answer:-35

Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35

Answer:

-35

Step-by-step explanation:

whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.

in this case 7 is positive and 5 is negative so  your anwers is -35

hope i helped!

:)

How much change from a $50 bill would you receive if you bought
items costing $13.95, $6.08, and $24.35?

Answers

Answer:

$5.62

Step-by-step explanation:

Add all of the cost of the items and then deduct that answer from 50.

Answer:

$5.62

Step-by-step explanation:

50−(13.95+6.08+24.35)

=50−(20.03+24.35)

=50−44.38

=5.62

Select the correct answer from each drop-down menu.
Aerial's grandmother gave her $5,500.00 to save for her college education. She went to the bank to open a savings account. The bank told her they had two options available.

Account A will pay 5.5% simple interest until the account is closed.

Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. When the initial account is closed, the bonus account will be closed as well and the money from the two accounts will be combined.

If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account
is the better choice earning her
more.

Answers

If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account B is the better choice earning her $41.25 more.

Help me and I’ll give brainliest to u

Answers

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

Are 5 and 0.5 Equal to Each other?

Answers

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

No it is not equal one is in the tenths place

Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =​

Answers

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

Solve the following system.
5x - 5y + 8z = 6
x + 2y + z = 12
3y - z = 10

Answers

The answer is (2,4,2)

HELP PLEASE REEEEEEEEEEEE!! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


72 is what percent of 480? Write and solve an equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

480 = 100%

72  =   ?       you can find it doing  (72(100))/480

72(100)= 7200      

7200/480= 15    

the answer is 15%

have a nice day :)

Find the value of x.

Answers

You have to combine your liked terms first

HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]

Answers

Answer:

cotx - cot2ⁿx

Step-by-step explanation:

Note: finding the sum not x

First rewrite the first term as:

1/sin2x = sinx / (sinxsin2x)  = sin(2x-x) / (sinxsin2x)  =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2x

Now the sum is:

S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿx

please help me this is turned in a couoke of minutes!!!!!!!!!!​

Answers

Answer:

mince is the answer

If a relation has more numbers in its range than in its domain, what has to be true?

Answers

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n

Answers

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Diameter: d = 2rArea of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]:                    30 m = 2rIsolate r:                             15 m = rRewrite:                              r = 15 mSubstitute [AC]:                 A = π(15 m)²Rearrange:                        A = 15²π

Check For Understanding
CELL PHONES A Cell phone company is going to build three new towers in a nearby city. The city council has
released s map that shows where the towers will be built. On the map, the distance between towers A and B is 2
centimeters, the distance between towers B and C 3 centimeters, and the distance between towers A and C is 4
centimeters. A technician needs to visit the stes of the three towers, and he has outlined his travel route between
them on a map. The polygon formed by his travel route on the map will be similar to the polygon formed by the
technicians he drives to the three towers. If the actual distance between tower Band tower C is 600 meters, how
for was the technican have to travel to visit all three cell phone towers?

Answers

Answer:

Distance between A ----> B : 2 cm

B ---> C: 3 cm : 600 meters

A----> C: 4 cm

3:600 meters scaled

So its 200 meters per every 1 cm!

From A to B : 400 meters

From B to C : 600 meters

Frok C to A: 800 meters

Therefore we sum 400+600+800= 1800 meters

Which line has a slope of 1/2 and passed through (2,-4)

Answers

The Answer is: “D” step by step explanation:

Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?

Answers

Answer:

270

Step-by-step explanation:

if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it  into fifths  an u get 90 then multiply 90 by 3 since its thirds an you get 270

Answer:

600

Step-by-step explanation:

20 divided by 1/2 is 40

40 divided by 1/5 is 200

200 divided by 1/3 is 600

A demon possessed woody and turned him into a monster!

He now hunts children aged 7-16 because he likes his meals chewy.

His head turns 360 degrees to spot prey.

If you look at the picture he will rise out of your sheets and put snakes in your shoes.

And he's right behind you.

Answers

Answer:

Ë

Step-by-step explanation:

Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you

Answer:

i looked behind me and yes i did see a monster, my brother

Step-by-step explanation:

Which expression is equivalent to 5p2+ 3p2 - 6p?
a. 2p2
b. 14p2
C. 8p2 - 6p
d. p(5p + 3p - 6)

Answers

Answer:

is c or d i think

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.

Answers

Answer:

0.5 in, 2 in

Step-by-step explanation:

It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.

helpp meee pleaseeee​

Answers

Answer:

I think its b:/ srry if I'm wrong

identification method

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

Triangle RST is an equilateral triangle.

Step-by-step explanation:

All three sides of the triangle are of equal length, therefore, because an isosceles triangle is when 2 sides of the triangle are the same length, a scalene triangle being when all sides are of different lengths, and a right triangle having a right angle (a 90 degree angle), this only leaves equilateral, all three sides being the same length, like in the triangle shown.

Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two numbers?”


The riddle can be represented with two equations. Write the equations

Answers

Answer:  

X + Y = 5.678

X - Y = 9.876

The two numbers: X = 7.777   Y = -2.099

Step-by-step explanation: solve by elimination

X + Y = 5.678

X - Y = 9.876 . Add the two equations so the y cancels. Solve for x

2x = 15.554 .  Divide both sides by 2

X = 7.777    Substitute in the original equations to find Y

7.777 + y = 5.678 . Subtract 7.777 from both sides

Y = - 2.099

check in the second equation:

7.777 -(-2.099) = 9.876

7.777 + 2.099 = 9.876 True

The two numbers is X = 7.777 and Y = -2.099.

And, the two equation is X + Y = 5.678  and X - Y = 9.876.

Given that,

I am thinking of two numbers that add up to 5.678. The difference between them is 9.876.Here we assume the one number be X and the other number be Y.

Based on the above information, the calculation is as follows:

X + Y = 5.678

X - Y = 9.876

2x = 15.554  

X = 7.777    

Now  

7.777 + Y = 5.678  

Y = - 2.099

Therefore, the above should be the answers.

Learn more: brainly.com/question/24169758

Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and three fifths blocks east of​ school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase​'s ​house? What is Chase​'s likely​ error?

Answers

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality ​

Answers

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

what is an equation for the line that passes through the points (-2,3), and (2,1)

Answers

Answer:

yes

Step-by-step explanation:

no

help me answer this geometry question please!! will give brainliest and 5 stars!!

Answers

b . using SAS theorem

Which equation can be used to represent the distance D for the times t given in the table?

Answers

Answer: D

Step-by-step explanation:

Other Questions
An income statement reports information over a period of time, indicating the financial progress of a business in earning a net income or net loss. (PG 182) Write an equation in slope-intercept form which has a slope of 1/4 and crosses the -axis at (0,7) PLS HELP ASAP! Staphylococcus aureus, or staph, is a bacteria that is commonly found in the nose and on the skin of humans. While it is typically not harmful to humans, it is sometimes able to enter the body through an injury or broken skin, and get into the bloodstream. When this happens, it can cause a serious infection called sepsis. Sepsis can cause an individual to go into shock and bodily organs to stop functioning. Symptoms of sepsis include inflammation, fever or hypothermia, increased heart rate, and rapid breathing.A microscopic image of staphylococcus aureus is shown.Which immune system component initially results in the inflammation and responds quickly when Staphylococcus aureus enters the bloodstream?complement systemphagocytesLangerhans cellsB lymphocytesMark this and return What is the slope of the line whose equation is: y = 2/5x - 5? I NEED A ANSWER FAST which of the following best describe the impact of Rosetta Stone 1) it helped us translate from Greek to English 2) it was the first time we saw ancient Egyptians hieroglyphs 3) it told us the history of the ancient Egyptian civilization 4) it helped us translate ancient Egyptian hieroglyphs for the first time in history Please help me with this!! Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectngulo que tiene como permetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud. These points are linear. Find the slope. At which age did a man complete his service to the Spartan military?a 36b 60c 21d 49pls answer and ill give you 5 stars if you have a decent explanation.HAVE A GREAT DAY! THX Why did Mendel study pea plants?They reproduce asexually and have one trait that is easy to observe.They reproduce asexually and have many traits that are easy to observe.They reproduce sexually and have one trait that is easy to observe.They reproduce sexually and have many traits that are easy to observe. charlie gas a giant bag of gumballs . He gives half of what he has to his buddy jayden . He gives half of what's left to marinda . Then he gives half of what's left now to Zack . His mom makes him give 5 gumballs left . How many gumballs did charlie begin with ? given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds What is the most financially dangerous way to pay for college?A.ScholarshipsB.CashC.Credit cardsD.Federal students loans What is the huge grouping of stars that rotate around a center of which the Sun and the solar are a part. If you have 100 kg of each of these substances, which would require the most energy to increase its temperature by 25 Kelvin?A. IronB. CarbonC. RubberD. Air Read the following lines from "Vincent van Gogh: Portrait of an Artist."Every Sunday on his way to church, young Vincent would pass the headstone carved with the name he shared. Did he feel as if his dead brother were the rightful Vincent, the one who would remain perfect in his parents' hearts, and that he was merely an unsatisfactory replacement? That might have been one of the reasons he spent so much of his life feeling like a lonely outsider, as if he didn't fit anywhere in the world.Why would the author share this in the very beginning?This information should be considered as the reader learns about van Gogh throughout his life.The author wanted to find a way for readers to like Vincent.The information is sensationalistic and will grab the attention of modern readers.Readers enjoy feeling sympathy for the characters they read about. [tex] - 20x - 5[/tex]what does equal[tex]x[/tex] The length of the deck is 3 times its width. If the decks perimeter is 16 ft what is the decks area What was the cause of the Glorious Revolution?A.James II became tired of ruling England and wanted to give up the throne.B.James II had no children to become the monarch after him.C.James II wanted to raise taxes to fight a war with France.D.James II became a Catholic and tried to rule Britain without Parliament.