5 to the power of -4 divided by 5 to the power of 4
You asked:
Evaluate the expression: \(\frac{{5}^{-4}}{{5}^{4}}\)
MathBot Answer:
\[\frac{{5}^{-4}}{{5}^{4}} = \frac{1}{390625} = 0.00000256\]
\[\begin{aligned}\frac{{5}^{-4}}{{5}^{4}}& = \frac{1}{5^{4}} \cdot \frac{1}{5^{4}}\\& = \frac{1}{625} \cdot \frac{1}{5^{4}}\\& = \frac{1}{625} \cdot \frac{1}{625}\\& = \frac{1}{390625}\end{aligned}\]