Question

If 16 to the power of x is 1/64 . what is x

Answer 1

Answer:

Step-by-step explanation:

$16^{x}=\frac{1}{64}\\\\(4^{2})^{x}=64^{-1}\\\\(4^{2})^{x}=(4^{3})^{-1}\\\\4^{2x}=4^{-3}$

Compare the powers now

2x = -3

x = -3/2