Find the value of the following expression

(2^8 5^-5 19^0) x [5^-2 over 2^3]^4 x 2^28 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)

Answers

Answer 1

Looks like the expression is

(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸

First, any positive number raised to 0 is 1:

(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸

(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸

Exponents in a denominator can be rewritten as negative exponents in the numerator:

(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸

Distribute the 4th power across the product 5⁻² • 2⁻³ :

(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²

so we have

(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸

Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:

2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸

2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸

2²⁴ • 5⁻¹³

Rewrite the negative exponent as a positive one:

2²⁴ / 5¹³


Related Questions

What is the answer for both?​

Answers

Answer:

What is the question from both?

Answer:

(4,2) for the first one

(2,-1) for the second one

to get the answers I got, equate Both

what percent is 30 of 20

Answers

Answer:

1.5

Step-by-step explanation:

Lmk if i need to explain!

John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.

Answers

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

Stephen ran a race that was 5 miles long . he ran 1/4 of a mile in 1/8 of an hour . he ran the same pace the entire race , how long , in hour did it take Stephan to run the entire race ?

Answers

Answer:

1/2 hour

Step-by-step explanation:

he ran 1.25 miles in 7.5 mins

so

1.25x=37.5

x=30 MINS

30 mins =.5 hours or 1/2 hours

The ratio of red marbles to blue marbles in a bag is 2 to 3. Which of the following could be the number of red and blue marbles in the bag?

Answers

Answer:

4 red marbles and 6 blue marbles

Step-by-step explanation:

Multiply any numbers to 2 and 3 and you get another ratio.

What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°

Answers

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

Which one??? I need help. Be serious please

Answers

Answer:

c

Step-by-step explanation:

10+12=22

=22^2

=484

Answer:

I believe the answer is C or D.

Step-by-step explanation:

4. Which r - value suggests a strong
positive correlation?
r= 0.1847
r= -0.1847
r= 0.9974
r= -0.9974

Answers

Answer:

It would be r= 0.9974.

The closer the r value is to 1 or -1 the stronger it is.

Positive and negative are just determining what "side" its on.

Let me know if this helps!

(I will give branliest please help me)
Which linear equation represents a line that is parallel to the line drawn and includes point P?
y = 42 - 4
4x + 3y = 15
y=-30 +3.25
-3. + 4y = -5

Answers

the second one I think

What is the awnser to that question

Answers

Answer:

C. 2 and 5

Step-by-step explanation:

Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles. How many square feet of plywood does Oliver need to build the ramp?

I will mark brainliest

Answers

Answer:

18

Step-by-step explanation:

What is the correct answer? ​

Answers

The answer is Cccccccccccccccccccccc

Answer:

C)  y = 10/3x - 5

Step-by-step explanation:

Slope intercept equation is y = mx + b:

    m is the slope

    b is y-intercept

When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.

Example: y = [tex]\frac{10}{3} x - 5[/tex]

Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.

You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 units. How many units did you sell?
a) 5
b) 15
c) 49
d) 50

Answers

Answer:

D

Step-by-step explanation:

30 from the beginning of the week plus 50 that you bought.

80-x=30

50=x

Answer is D

Answer:50

Step-by-step explanation:

30+50=80

80-30=50

So he sell 50

What is the value of x in the equation Negative two-thirds x + 9 = four-thirds x minus 3?

Answers

Answer:the answer is x=6

Step-by-step explanation:

I alr did the quiz for this question on edg 2020

Answer:

x= 6

Step-by-step explanation:

(please i'm taking a test) A fraction is never a rational number true or false

Answers

The answer is false because a fraction can not be regional

What is the result when the number 40 is decreased by 10%?

Answers

Answer:

it would be 36

Step-by-step explanation:

20points- Correct answer get Brainlest- Help please-Thank you- :)


Of all students, calculate the relative frequency for males who carpool.


Gender School Transportation Survey

Walk Ride Bus Carpool Total

Male 9 26 9 44

Female 8 26 24 58

Total 17 52 33 1



0.204

33

0.088

9

Answers

Answer:

0,204

Step-by-step explanation:

HELP ME LLEASE WUIZ OMG WHAT ARE THE CORDS? 30 points

Answers

Answer: -1/2 and 1/3

Step-by-step explanation:

A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the value for the width.

Answers

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

[tex] \longrightarrow [/tex] l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft

help me plzzzz lzzzzzzzzzz

Answers

Answer:

2 to the 8th power

Step-by-step explanation:

When there are parenthesis, for exponents, you have to multiply the exponents. 2*4=8

CAN SOMEONE PLZ HELP

Answers

Answer:

(x, y, z) = (2, -1, 3)

Step-by-step explanation:

I solved it using the elimination method

need rn! worth 13 ~ what is the equation of the parabola? 謝謝

Answers

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

PLEASE HELP, MARKING BRAINLIEST!!!!

What is the value of x? *Please show your work if you can.*

Answers

Answer:

I think 100..........

In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answers

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. (look at graph)


Is the number of gallons of water in the bathtub a function of time?

A)Yes because each t value is paired with exactly one number of gallons.
B)Yes because the number of gallons is bounded between y = 0 and y = 36.
C)No because each number of gallons is paired with more than one t value.
D)No because from t = 5 to t = 20 the number of gallons of water is constant.

Answers

A.Yes because each t value is paired with exactly one number of gallons.

Step-by-step explanation:

Yes  the number of gallons of water in the bathtub a function of time because each t value is paired with exactly one number of gallons.

Option A

Given :

The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

The number of gallons of water in bathtub depends on the time taken to fill or drain water

For each minutes in x  there is one y value

There is no break in the graph . For each x  value there is only one value

From this graph we can say that , for each t value (minutes)  there is exactly one number of gallons (y value )

So, yes because each t value is paired with exactly one number of gallons.

Learn more :  brainly.com/question/19620324

7. What is the area of the shaded region?
5.6 cm
6.4 cm
5.8 cm
1.2 cm
0.8 cm

Answers

5.12+7.68+2.88 I’d say somewhere around 13.12cm I can’t see all the answers
Something around 13 or 14

Select all of the statements that are true for the given parabola

Answers

Answer: Please provide statements.

Step-by-step explanation:

Answer:

The maximum is (-1, 6).

The line of symmetry is x = -1.

Step-by-step explanation:

those two

13) (-4.3) (2,-1)
slope formula

Answers

Answer:

[tex]3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} [/tex]

The Giant Anteater can eat 70,000 ants in 2 days. It’s true

Answers

Answer:

cool

Step-by-step explanation:

is this a question?

PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10

K=?

Answers

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

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