Question

simplify (x^-2)^-12

Answer 1

well the answer choices are
A. x^-24
B. x^-14
C. x^14
D. x^24

Answer 2

is it C ?

Answer 3

The original expression is
\[(x^{-2})^{-12}\]
?

Answer 4

yeah

Answer 5

You are raising the x^(-2) to itself -12 times so you will need to multiply the terms (-2) and (-12)

Answer 6

Remember negatives by negative will turn positive

Answer 7

I thought you just added them

Answer 8

It is,
\[x^{-2} \times x^{-2} \times x^{-2}..\] 12 times

Answer 9

but the 12 is negative so it it makes the -2 positive

Answer 10

Yeah I thought x would stays the same and you just add the exponents which would make the answer x^14

Answer 11

Well multiply x^(-2), -12 times, you will see you are really adding 2 each time.

Answer 12

so it's x^24

Answer 13

That is if you are multiply
\[x^{-2} \times x^{-12} = x^{-14}\]
Which you are not

Answer 14

Correct! it is x^24

Answer 15

damn I got it wrong because I was running out of time and answered earlier . I got like 6 others wrong that were similar to as well .

Answer 16

You should ask be familiar with the concept before attempting a timed-session.