(9^2/3) / (9^1/5)

asked by guest
on Jan 10, 2025 at 2:12 am



You asked:

Evaluate the expression: \(\frac{\frac{{9}^{2}}{3}}{\frac{{9}^{1}}{5}}\)

MathBot Answer:

\[\frac{\frac{{9}^{2}}{3}}{\frac{{9}^{1}}{5}} = 15\]

\[\begin{aligned}\frac{\frac{{9}^{2}}{3}}{\frac{{9}^{1}}{5}}& = 9^{2} \cdot \frac{1}{3} \cdot \frac{1}{9^{1} \cdot \frac{1}{5}}\\& = \frac{81}{3} \cdot \frac{1}{9^{1} \cdot \frac{1}{5}}\\& = \frac{81}{3} \cdot \frac{1}{\frac{9}{5}}\\& = 81 \cdot \frac{5}{27}\\& = 15\end{aligned}\]

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