3 raised to 1/3 times 9 raised to 1/3
You asked:
Evaluate the expression: \({3}^{\frac{1}{3}} \cdot {9}^{\frac{1}{3}}\)
MathBot Answer:
\[{3}^{\frac{1}{3}} \cdot {9}^{\frac{1}{3}} = 3\]
\[\begin{aligned}{3}^{\frac{1}{3}} \cdot {9}^{\frac{1}{3}}& = \sqrt[3]{3} \cdot \sqrt[3]{9}\\& = \sqrt[3]{3} \cdot 3^{\frac{2}{3}}\\& = 3\end{aligned}\]