5 to the power of -5 divided by 5 to the power of 5

asked by guest
on Nov 19, 2024 at 12:18 am



You asked:

Evaluate the expression: \(\frac{{5}^{-5}}{{5}^{5}}\)

MathBot Answer:

\[\frac{{5}^{-5}}{{5}^{5}} = \frac{1}{9765625} = 0.0000001024\]


\[\begin{aligned}\frac{{5}^{-5}}{{5}^{5}}& = \frac{1}{5^{5}} \cdot \frac{1}{5^{5}}\\& = \frac{1}{3125} \cdot \frac{1}{5^{5}}\\& = \frac{1}{3125} \cdot \frac{1}{3125}\\& = \frac{1}{9765625}\end{aligned}\]