Question

If $64^{-5} = 2^x$, what is the value of $x$?

Answer 1

Answer:

Step-by-step explanation:

Noticing that $64 = 2^{6}$, we can write the expression as $\left(2^6\right)^{-5}=2^{(6 \cdot (-5))} = 2^{-30}$.

Thus, $x = \boxed{-30}$