(8^2/4^3)^2

asked by guest
on Jan 24, 2025 at 10:17 am



You asked:

Evaluate the expression: \({\left( \frac{{8}^{2}}{{4}^{3}} \right)}^{2}\)

MathBot Answer:

\[{\left( \frac{{8}^{2}}{{4}^{3}} \right)}^{2} = 1\]

\[\begin{aligned}{\left( \frac{{8}^{2}}{{4}^{3}} \right)}^{2}& = \left(8^{2} \cdot \frac{1}{4^{3}}\right)^{2}\\& = \left(64 \cdot \frac{1}{4^{3}}\right)^{2}\\& = \left(\frac{64}{64}\right)^{2}\\& = 1^{2}\\& = 1\end{aligned}\]

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