Simplify (1^16)^(2/3)

${(1^{16})}^{\frac{2}{3}}$

Multiply the exponents in ${(1^{16})}^{\frac{2}{3}}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$1^{16 (\frac{2}{3})}$

Multiply $16 (\frac{2}{3})$ .

Combine $16$ and $\frac{2}{3}$ .

$1^{\frac{16 \cdot 2}{3}}$

Multiply $16$ by $2$ .

$1^{\frac{32}{3}}$

One to any power is one.

$1$