Simplify the expression.
(m^-1 m^5/m^-2)^-3

a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18

Simplify The Expression.(m^-1 M^5/m^-2)^-3a)- 3m^4/m^2b)-m^216c)m^18d)1/m^18

Answers

Answer 1
d) 1/m^18

Explanation:
(m^-2/m-1m5)^3
m^-6/m^-3m^15
1/m^6 / m^15/m^3
1/m^6 / m^12
1/m^6 (1/m^12)
1/m^18

let me know if you want clarification
Answer 2

Answer:

[tex]D)\frac{1}{m^{18} }[/tex]

Step-by-step explanation:

Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]

Add -1 and 5.

[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]

Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].

[tex](m^{4} m^{2} )[/tex]

Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](m^{4+2} )^{-3}[/tex]

Add 4 and 2.

[tex](m^{6} )^{-3}[/tex]

Multiply the exponents in [tex](m^6)^{-3}[/tex]

Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].

[tex]m^{6*-3}[/tex]

Multiply 6 by -3.

[tex]m^{-18}[/tex]

Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].

[tex]\frac{1}{m^{18} }[/tex]


Related Questions

The numbers represented by points w, x and y on the number line are integers.

Under which of the following conditions could the expression, x > 2, be true? Select all that apply.

Answers

Answer:

Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.

Step-by-step explanation:

Step-by-step explanation:

https://brainly.com/question/14500266

what's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4​

Answers

Answer: B

Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375

Answer:

b.

Step-by-step explanation:

first, you would you would find a common denominator between 3/8 and you will get 6/16. last, you would add 1/16 + 6/16 for your answer of 7/16

What is the equation of the following linear funchon?

Answers

Answer:

3x+8

Step-by-step explanation:

linear function formula ax+b

when x=3 3a+b=17 and when x=6 6a+b=26

3a=9 a=3,

when x=3 3.3+b=17 9+b=17 b=8

3x+8

18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5

Answers

Answer:

A. 5/10

Step-by-step explanation:

Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50

The sum of 4 and the product of three and a number x

Answers

Answer:

4=3+x

Step-by-step explanation:

hello!

First, let the number be x.

The product of 3 and x looks like so:-

3x

Now, add 4 (the sum of 4 and 3x):

[tex]\bigstar\sf{3x+4}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Find the value of y.

Answers

As

<IJK and <IKJ are equal measured

The triangle is isoceles

The adjacent sides of both angles are similar

Hence

IJ=IKy=21

Answer:

21

Step-by-step explanation:

as angle J and angle K are equal, sides JI and IK are also equal. So y = 21

A video has 25 thumbs up. What integer represents its score in points?

Answers

Answer:

25 points

Hope this helps!

The number 111…111 (100 ones) is multiplied by 101. The resulting number is then also multiplied by 101. The number obtained in the second step is again multiplied by 101. What is the sum of the digits of the number obtained in the third step?

Answers

Answer:

  800

Step-by-step explanation:

The three multiplication steps are equivalent to multiplying by ...

  101³ = 1030301

The sum of digits of the product will be the sum of digits of the partial products, since none of the digit-by-digit multiplications results in a product that is more than 10.

The sum of digits of the third product is ...

  (1 × 100) × (1 + 3 + 3 + 1) = 800

Which of the following is the correct factorization of the polynomial below?

x^3 - 12

A. (x + 3)(x - 4)

B. (x - 3)(x + 4)

C. (x + 3)(x^2 - 4x + 4)

D. The polynomial is irreducible.

Answers

The answer is D. The polynomial is irreducible because 12 can’t be squared.

If made $90.00 how much was paid hourly?​

Answers

Answer:

Made in how long of a workshift?

Step-by-step explanation:

In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.

Answers

Answer:

7.89 births per minute

Step-by-step explanation:

525600 minutes in a year

4,148,000 divided by 525600 =

7.89193302892

The volume of a sphere is 9,198.11 ft3. To the nearest foot​, what is the radius of the​ sphere? Use 3.14 for π.

Answers

Answer: 1.3 ft

Step-by-step explanation:

Using the formula

V=4

3πr3

Solving forr

r=(3V

4π)⅓=(3·9.2

4·π)⅓≈1.29978

find the missing coordinates y+7x=1

(-1, )
(4, )

Answers

Answer:

(-1,8)

(4,-27)

Step-by-step explanation:

y+7x=1

Let x = -1 and find y

y+7(-1)=1

y -7 =1

Add 7 to each side

y-7+7 = 1+7

y = 8

(-1,8)

Let x = 4 and find y

y+7(4)=1

y +28 =1

Subtract 28 from each side

y+28-28 = 1-28

y = -27

(4,-27)

HI I am 10 years old and I need help with my math homework, here's what I need help with:




Pls help me it is do today

Answers

Answer:

1   1/4

Step-by-step explanation:

Answer:

5/4 or 1 1/4

Step-by-step explanation:

1 3/4 - 2/4 = 1 1/4 or 5/4

If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level

Answers

Considering the p-value of the test, the correct option is:

b. will also not be rejected at the 1% level.

How do we reach the decision to reject or not reject the null hypothesis?

It depends on the p-value of the test, as follows:

If the p-value is greater than the significance level, we do not reject the null hypothesis.If it is less than the significance level, we reject the null hypothesis.

In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.

More can be learned about hypothesis tests at https://brainly.com/question/26454209

Which statement is true about every exterior angle of any quadrilateral inscribed in a circle?


The measure of an exterior angle is equal to the measure of the nonadjacent interior angle.


The measure of an exterior angle is equal to the measure of an adjacent interior angle.


The measure of an exterior angle is equal to the average of the measures of the two adjacent interior angles.


The measure of an exterior angle is equal to the difference of the measures of the two adjacent interior angles.

Answers

Answer:

A

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.

Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.

Answer: A

The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the transformed function? On a coordinate plane, an absolute value function is shown. The vertex of the function is at (negative 3, negative 2). It crosses the x-axis at (negative 5, 0) and (negative 1, 0) and it crosses the y-axis at (0, 1). y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2 y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2 y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3 y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3

Answers

Using translation concepts, it is found that the equation of the transformed function is:

y = |x + 3| - 2.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:

It was shifted 3 units to the left, hence x -> x + 3.It was shifted 2 units down, hence y -> y - 2.

Thus, the equation of the function is now given by:

y = |x + 3| - 2.

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:y = |x + 3| - 2.

Step-by-step explanation:  B on edge

Only 16 tho!!!!!please

Answers

Answer:

(5*2) + (1/2)(2+2+2)*4)

Step-by-step explanation:

Area of Triangle = (1/2)(2 + 2 + 2 )* 4)

Area of Rectangle = 5 * 2

Total Area = (5*2) + (1/2)(2+2+2)*4)

what is the distance of 53 yards square

Answers

Answer:

477 square foot

Step-by-step explanation:

cause yea

Pls help me with My math I need the ans rn, Tysm.​

Answers

Answer:

35 degrees

30 degrees

Teresa is loading her car with boxes that each weigh 4 3/4 pounds. If Teresa loads 9 of theses boxes find the combined weight of each box

Answers

Given :Weight of each box = 4 3/4 pounds = 4.75 pounds

To Find :Weight of 9 boxes

Solving :Weight of 9 boxes = Weight of each box x 9 [1 x 9 = 9]W = 4.75 x 9 = 36 + 6.75 = 42.75 pounds

Answer :42.75 pounds

Weight of one box=4 3/4lbs=19/4lbsTotal boxes=9

Total weight:-

9(19/4)171/442-3/4lbs

Help picture below problem 19

Answers

B- it is 1 because if you simplify your answer you will get 1

Answer:

9

Step-by-step explanation:

Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x  (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so,  9 (by the power 1) is 9

Write each expression as a single power of 10.

Answers

Answer:

Refer to below!

Step-by-step explanation (a):

[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]

[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]

Step-by-step explanation (b):

[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow{10^{9} }[/tex]

Step-by-step explanation (c):

[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{2} }[/tex]

Step-by-step explanation (d):

[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]

[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]

[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{5} }[/tex]

Step-by-step explanation (e):

[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]

[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]

[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]

[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow {10^{4}[/tex]

What is the slope of
the line?
[?]
[]
Give your answer as
a fraction in simplest
form.

Answers

Answer:

slope = 3/2

Step-by-step explanation:

we rise 3 and run 2 which gives us y=3/2x

From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. Write your answer in simplest form.

Answers

Answer:

5/6

Step-by-step explanation:

In total there are 7+5+8+4+6=30 marbles. you need to take out the yellow marbles that you counted into the total of 30 marbles which would be 25 marble. this means that there are 25 out of 30 marble you can select that is not yellow. which gives you the probability of 25/30 simplify it to get 5/6

100 pts what is 2X2+6X5+8

Answers

Answer:

It's 42.

Step-by-step explanation:

Order of operations:

4+6*5+8

4+30+8

34+8

= 42

Therefore, the answer is 42.

Answer:

42

Step-by-step explanation:

BRAINLIEST!!!

Given the figure below, find the values of x and z.

Answers

Step-by-step explanation:

87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20

Answer:

=> z = 87° { vertically opposite angle }

=> 87° + (9x-87) = 180° { linear pair }

=> 87 +9x-87 = 180

=> 9x = 180°

=> x = 180/9

=> x = 20°

A florist used 16 flowers to make a bouquet, including 6 lilies.

What is the probability that a randomly selected flower will be a lily?

Answers

Answer:

3/8

Step-by-step explanation:

Values we are given :

16 flowers in total6 lilies

We know that :

Probability of selecting an object from a group of items = Number of objects / Number of items

Therefore,

Probability of selecting a lily = Number of lilies / Number of flowersP = 6/16P = 3/8

PLEASE HELP ASAPP!!! (NO LINKS) WILL GIVE BRAINLIEST



Find the number of solutions of
the
equation 6x^2 + 6x + 3 = 0 by
using the discriminant.
(1 solution, 2 solutions, or no
real solutions)

Answers

Answer:

No real solutions

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given equation:  [tex]6x^2+6x+3=0[/tex]

[tex]\implies a=6, \quad b=6, \quad c=3[/tex]

Inputting these values into the discriminant:

[tex]\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}[/tex]

How do you write 9 1/10 as a decimal?) *

Answers

Answer:

Convert 9 1/10 to an improper fraction.

Decimal form

=9.1

Answer:

9.1

Convert [tex]9\frac{1}{10}[/tex] to [tex]9 + 1/10[/tex][tex]\frac{1}{10}[/tex] is the same as 1 divided by 10, which is 10, for this case 0.10Therefore, [tex]9 + 0.1 = 9.1[/tex]

There are other, more complicated ways to do this, but we must start with an easier, understandable way first.

__________________________________________________________

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