Question

$$\sqrt[ 6 ]{ { 2 }^{ 3 } }$$

Answer

sqrt(2)

Solution


Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{2}^{\frac{3}{6}}\]
Simplify  \(\frac{3}{6}\)  to  \(\frac{1}{2}\).
\[{2}^{\frac{1}{2}}\]
Convert \({2}^{\frac{1}{2}}\) to square root.
\[\sqrt{2}\]

Decimal Form: 1.414214