(3^9/3^5)^2

asked by guest
on Nov 13, 2024 at 9:05 pm



You asked:

Evaluate the expression: \({\left( \frac{{3}^{9}}{{3}^{5}} \right)}^{2}\)

MathBot Answer:

\[{\left( \frac{{3}^{9}}{{3}^{5}} \right)}^{2} = 6561\]

\[\begin{aligned}{\left( \frac{{3}^{9}}{{3}^{5}} \right)}^{2}& = \left(3^{9} \cdot \frac{1}{3^{5}}\right)^{2}\\& = \left(19683 \cdot \frac{1}{3^{5}}\right)^{2}\\& = \left(\frac{19683}{243}\right)^{2}\\& = 81^{2}\\& = 6561\end{aligned}\]

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