12 ^2/3 * 5 ^2/3
You asked:
Evaluate the expression: \(\frac{\frac{{12}^{2}}{3} \cdot {5}^{2}}{3}\)
MathBot Answer:
\[\frac{\frac{{12}^{2}}{3} \cdot {5}^{2}}{3} = 400\]
\[\begin{aligned}\frac{\frac{{12}^{2}}{3} \cdot {5}^{2}}{3}& = 12^{2} \cdot \frac{1}{3} \cdot 5^{2} \cdot \frac{1}{3}\\& = \frac{144}{3} \cdot 5^{2} \cdot \frac{1}{3}\\& = \frac{144}{3} \cdot \frac{25}{3}\\& = 48 \cdot \frac{25}{3}\\& = 400\end{aligned}\]