5^−3×625^(3/4)

asked by guest
on Nov 24, 2024 at 6:45 am



You asked:

Evaluate the expression: \({5}^{-3} {625}^{\frac{3}{4}}\)

MathBot Answer:

\[{5}^{-3} {625}^{\frac{3}{4}} = 1\]


\[\begin{aligned}{5}^{-3} {625}^{\frac{3}{4}}& = \frac{1}{5^{3}} \cdot 625^{\frac{3}{4}}\\& = \frac{1}{125} \cdot 625^{\frac{3}{4}}\\& = \frac{125}{125}\\& = 1\end{aligned}\]