(9/4)^-3/2

asked by guest
on Oct 23, 2024 at 12:23 pm



You asked:

Evaluate the expression: \(\frac{{\left( \frac{9}{4} \right)}^{-3}}{2}\)

MathBot Answer:

\[\frac{{\left( \frac{9}{4} \right)}^{-3}}{2} = \frac{32}{729} = 0.\overline{043895747599451303155006858710562414266117969821673525377229080932784636488340192}\]

\[\begin{aligned}\frac{{\left( \frac{9}{4} \right)}^{-3}}{2}& = \frac{1}{\left(\frac{9}{4}\right)^{3}} \cdot \frac{1}{2}\\& = \frac{64}{729} \cdot \frac{1}{2}\\& = \frac{32}{729}\end{aligned}\]

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