Simplify cube root of 64^27

$\sqrt[3]{64^{27}}$

Rewrite $64^{27}$ as ${(64^{9})}^{3}$ .

$\sqrt[3]{{(64^{9})}^{3}}$

Pull terms out from under the radical, assuming real numbers.

$64^{9}$

Raise $64$ to the power of $9$ .

$18014398509482000$

The result can be shown in multiple forms.

Exact Form:

$18014398509482000$

Decimal Form:

$1.80143985 \cdot 10^{16}$