Question

Express ${\left(2^{-2}\right)}^{-7}$as power of prime numbers.

Answer 1

According to law of exponents ${\left(a^n\right)}^m=a^{nm}$

$$\begin{gathered} {\left(2^{-2}\right)}^{-7}=2^{-2\times -7} \\ =2^{14} \end{gathered}$$

Hence, the final answer is $2^{14}$.