Solve for x (1/5)^x=1/25

${(\frac{1}{5})}^{x} = \frac{1}{25}$

Step 1

Create equivalent expressions in the equation that all have equal bases.

${(\frac{1}{5})}^{x} = {(\frac{1}{5})}^{2}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x = 2$