solve (343 raised to power of -2)raised to the power of 1/3
You asked:
Evaluate the expression: \({{343}^{-2}}^{\frac{1}{3}}\)
MathBot Answer:
\[{{343}^{-2}}^{\frac{1}{3}} = \frac{1}{49} = 0.\overline{020408163265306122448979591836734693877551}\]
\[\begin{aligned}{{343}^{-2}}^{\frac{1}{3}}& = \sqrt[3]{\frac{1}{343^{2}}}\\& = \sqrt[3]{\frac{1}{117649}}\\& = \frac{1}{49}\end{aligned}\]