5^(2/3)+5^(-2/3)
You asked:
Evaluate the expression: \({5}^{\frac{2}{3}} + {5}^{\frac{-2}{3}}\)
MathBot Answer:
\[{5}^{\frac{2}{3}} + {5}^{\frac{-2}{3}} = \frac{\sqrt[3]{5}}{5} + 5^{\frac{2}{3}} \approx 3.26601292754820546337740913464669\]
\[\begin{aligned}{5}^{\frac{2}{3}} + {5}^{\frac{-2}{3}}&=5^{\frac{2}{3}} + \frac{1}{5^{\frac{2}{3}}}\\&=5^{\frac{2}{3}} + \frac{1}{5} \cdot \sqrt[3]{5}\end{aligned}\]