Question

Find the equivalent exponential expression.

12^-28

A.(12^-7)^4
B.(12^-7)^21
C.(12^-7)^-21
D.(12)^-29

Answer 1

\(\Large\color{black}{ \bf a^{-b}=\frac{1}{a^{b}} }\)

Answer 2

Care to explain how to use that formula?

Answer 3

Actually you need to use the fact that\[(x ^{a})^{b}=x ^{ab}\]so the first choice is your answer because \[(12^{-7})^{4}=12^{(-7)(4)}=12^{-28}\]

Answer 4

\(\Large\color{black}{ \bf 12^{-28}=\frac{1}{12^{28}} =? }\)

Answer 5

Thank you IMStuck for very much so clarifying and using the right formula! :)

Answer 6

Although SolomonZelman is correct in the general sense, I do not believe that they are asking you to rid yourself of the negative exponent in this case.