\{(- 3/2) ^ - 4\} ^ 5

asked by guest
on Sep 22, 2024 at 5:19 am



You asked:

Evaluate the expression: \({{\left( \frac{-3}{2} \right)}^{-4}}^{5}\)

MathBot Answer:

\[{{\left( \frac{-3}{2} \right)}^{-4}}^{5} = \frac{1048576}{3486784401} \approx 0.00030072865982171749425581991985\]

\[\begin{aligned}{{\left( \frac{-3}{2} \right)}^{-4}}^{5}& = \left(\frac{1}{\left(- \frac{3}{2}\right)^{4}}\right)^{5}\\& = \left(\frac{16}{81}\right)^{5}\\& = \frac{1048576}{3486784401}\end{aligned}\]

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