(h) \( 4^{x}=\frac{1}{64} \)

Did you know that \( 64 \) can be expressed as a power of \( 4 \)? In fact, \( 64 = 4^3 \) because \( 4^3 = 4 \times 4 \times 4 = 64 \). Therefore, we can rewrite the equation \( 4^x = \frac{1}{64} \) as \( 4^x = 4^{-3} \). This makes it easy to solve for \( x \): simply set \( x = -3 \). When dealing with exponential equations, it's super common to mix up the bases! Remember that both sides need to have the same base for easy comparison. If you're stumped on the base, you can also apply logarithms to both sides, but in simpler cases like this one, rewriting powers is often the fastest route to the answer!