Algebra Examples

$125^{- \frac{2}{3}} = \frac{1}{25}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(125)$ of the right side $(\frac{1}{25})$ equals the exponent $(- \frac{2}{3})$ .

$\log_{125} (\frac{1}{25}) = - \frac{2}{3}$