(9^-3/9^-7)^2

asked by guest
on Jan 24, 2025 at 10:34 am



You asked:

Evaluate the expression: \({\left( \frac{{9}^{-3}}{{9}^{-7}} \right)}^{2}\)

MathBot Answer:

\[{\left( \frac{{9}^{-3}}{{9}^{-7}} \right)}^{2} = 43046721\]

\[\begin{aligned}{\left( \frac{{9}^{-3}}{{9}^{-7}} \right)}^{2}& = \left(\frac{1}{9^{3}} \cdot \frac{1}{\frac{1}{9^{7}}}\right)^{2}\\& = \left(\frac{1}{729} \cdot \frac{1}{\frac{1}{9^{7}}}\right)^{2}\\& = \left(\frac{1}{729} \cdot \frac{1}{\frac{1}{4782969}}\right)^{2}\\& = 6561^{2}\\& = 43046721\end{aligned}\]

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