Algebra Examples

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

Step 1

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

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

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

Multiply by $1$ .

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

Step 2.1.3

Cancel the common factor.

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

Step 2.1.4

Rewrite the expression.

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

Step 2.2

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

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

Step 3

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

$\sqrt[3]{36}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{36}$

Decimal Form:

$3.30192724 \dots$