Precalculus Examples

$64^{\frac{- 1}{2}} = \frac{1}{8}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(64)$ of the right side $(\frac{1}{8})$ equals the exponent $(\frac{- 1}{2})$ .

$\log_{64} (\frac{1}{8}) = \frac{- 1}{2}$