Question

Find: ${64}^{\frac{1}{6}}$

Answer 1

${64}^{\frac{1}{6}}$

$=\sqrt[6]{664}$

$=\sqrt[6]{62\times 2\times 2\times 2\times 2\times 2}$

$=\sqrt[6]{62^6}$

$=2^{6\times \frac{1}{6}}$

$2^1=2$