Linear Algebra Examples

${(\sqrt[5]{9})}^{11}$

Step 1

Rewrite ${\sqrt[5]{9}}^{11}$ as $\sqrt[5]{9^{11}}$ .

$\sqrt[5]{9^{11}}$

Step 2

Raise $9$ to the power of $11$ .

$\sqrt[5]{31381059609}$

Step 3

Rewrite $31381059609$ as $81^{5} \cdot 9$ .

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Step 3.1

Factor $3486784401$ out of $31381059609$ .

$\sqrt[5]{3486784401 (9)}$

Step 3.2

Rewrite $3486784401$ as $81^{5}$ .

$\sqrt[5]{81^{5} \cdot 9}$

Step 4

Pull terms out from under the radical.

$81 \sqrt[5]{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$81 \sqrt[5]{9}$

Decimal Form:

$125.69949148 \dots$