Question

I dont understand how to do 9, 10, 11, and 12.

instead of solving it, can you give me an example of how to solve each?

Answer 1

9)Okay, let’s replace the numbers. (3m/1n)^-3Distribute the exponent. (3m)^-3 / (1n)^-3To get rid of the fact that th exponents are negative, we can flip the fraction!(1n)^3 / (3m)^3Now we distribute the exponent to the numbers and variables1n^3 / 27m^3That is your example answer for #9. 10. -(2a)^-2 b°Anything to the power of 0 is 1. -(2a)^-2Since we have a negative exponent, flip the fraction-(1/(2a)^2)-1/4a^2That is your example answer for 10. 11) 2m^-1/3(ab)^-4c^-7Flip the exponents with negative powers to make it positive2(ab)^4 c^7 / 3mdistribute the 4 exponent 2a^4b^4c^7/3mThat is your example answer for 11. 12) 4 x y^-1 z^0 / v^-3Anything to the power of 0 is 1. 4 x y^-1 / v^-3Flip the variables that have a negative exponent. 4xv^3/yThat is your example answer for 12

Explanation:

Answer 2

9)

Okay, let’s replace the numbers.

(3m/1n)^-3

Distribute the exponent.

(3m)^-3 / (1n)^-3

To get rid of the fact that th exponents are negative, we can flip the fraction!

(1n)^3 / (3m)^3

Now we distribute the exponent to the numbers and variables

1n^3 / 27m^3

That is your example answer for #9.


10. -(2a)^-2 b°

Anything to the power of 0 is 1.

-(2a)^-2

Since we have a negative exponent, flip the fraction

-(1/(2a)^2)

-1/4a^2

That is your example answer for 10.


11) 2m^-1/3(ab)^-4c^-7

Flip the exponents with negative powers to make it positive

2(ab)^4 c^7 / 3m

distribute the 4 exponent

2a^4b^4c^7/3m

That is your example answer for 11.


12) 4 x y^-1 z^0 / v^-3

Anything to the power of 0 is 1.

4 x y^-1 / v^-3

Flip the variables that have a negative exponent.

4xv^3/y


That is your example answer for 12