125^-2/3 * 9 ^1/2

asked by guest
on Oct 23, 2024 at 4:33 am



You asked:

Evaluate the expression: \(\frac{\frac{{125}^{-2}}{3} \cdot {9}^{1}}{2}\)

MathBot Answer:

\[\frac{\frac{{125}^{-2}}{3} \cdot {9}^{1}}{2} = \frac{3}{31250} = 0.000096\]

\[\begin{aligned}\frac{\frac{{125}^{-2}}{3} \cdot {9}^{1}}{2}& = \frac{1}{125^{2}} \cdot \frac{1}{3} \cdot 9^{1} \cdot \frac{1}{2}\\& = \frac{1}{15625} \cdot \frac{1}{3} \cdot 9^{1} \cdot \frac{1}{2}\\& = \frac{1}{15625} \cdot \frac{9}{3} \cdot \frac{1}{2}\\& = \frac{1}{15625} \cdot \frac{1}{3} \cdot \frac{9}{2}\\& = \frac{1}{46875} \cdot \frac{9}{2}\\& = \frac{3}{31250}\end{aligned}\]

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