Question

1/16=64^x

Answer 1

1/16=64^x
=>16^-1=4^3x
=>4^-2=4^3x
=>3x=-2
=>x=-2/3

Answer 2

\[\frac{1}{16} = 64^x \rightarrow [\frac{1}{2}]^4 = 2^{6x} \rightarrow {2}^{-4} = 2^{6x}\]
Comparing the powers from both sides, we find
\[x = \frac{-4}{6}= \frac{-2}{3}\]