(9/4)^-3/2
You asked:
Evaluate the expression: \(\frac{{\left( \frac{9}{4} \right)}^{-3}}{2}\)
MathBot Answer:
\[\frac{{\left( \frac{9}{4} \right)}^{-3}}{2} = \frac{32}{729} = 0.\overline{043895747599451303155006858710562414266117969821673525377229080932784636488340192}\]
\[\begin{aligned}\frac{{\left( \frac{9}{4} \right)}^{-3}}{2}& = \frac{1}{\left(\frac{9}{4}\right)^{3}} \cdot \frac{1}{2}\\& = \frac{64}{729} \cdot \frac{1}{2}\\& = \frac{32}{729}\end{aligned}\]