Simplify ( cube root of 6^4)/( cube root of 6^2)

$\frac{\sqrt[3]{6^{4}}}{\sqrt[3]{6^{2}}}$

Combine $\sqrt[3]{6^{4}}$ and $\sqrt[3]{6^{2}}$ into a single radical.

$\sqrt[3]{\frac{6^{4}}{6^{2}}}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{6^{4}}{6^{2}}$ by cancelling the common factors.

Factor $6^{2}$ out of $6^{4}$ .

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

Multiply by $1$ .

$\sqrt[3]{\frac{6^{2} \cdot 6^{2}}{6^{2} \cdot 1}}$

Cancel the common factor.

$\sqrt[3]{\frac{6^{2} \cdot 6^{2}}{6^{2} \cdot 1}}$

Rewrite the expression.

$\sqrt[3]{\frac{6^{2}}{1}}$

Divide $6^{2}$ by $1$ .

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

Raise $6$ to the power of $2$ .

$\sqrt[3]{36}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{36}$

Decimal Form:

$3.30192724 \dots$