Simplify fifth root of x* fifth root of x* fifth root of x* fifth root of x

$\sqrt[5]{x} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x}$

Step 1

Multiply $\sqrt[5]{x}$ by $\sqrt[5]{x}$ .

${\sqrt[5]{x}}^{2} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x}$

Step 2

Multiply ${\sqrt[5]{x}}^{2}$ by $\sqrt[5]{x}$ by adding the exponents.

Multiply ${\sqrt[5]{x}}^{2}$ by $\sqrt[5]{x}$ .

Raise $\sqrt[5]{x}$ to the power of $1$ .

${\sqrt[5]{x}}^{2} \cdot {\sqrt[5]{x}}^{1} \cdot \sqrt[5]{x}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sqrt[5]{x}}^{2 + 1} \cdot \sqrt[5]{x}$

Add $2$ and $1$ .

${\sqrt[5]{x}}^{3} \cdot \sqrt[5]{x}$

Step 3

Multiply ${\sqrt[5]{x}}^{3}$ by $\sqrt[5]{x}$ by adding the exponents.

Multiply ${\sqrt[5]{x}}^{3}$ by $\sqrt[5]{x}$ .

Raise $\sqrt[5]{x}$ to the power of $1$ .

${\sqrt[5]{x}}^{3} \cdot {\sqrt[5]{x}}^{1}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sqrt[5]{x}}^{3 + 1}$

Add $3$ and $1$ .

${\sqrt[5]{x}}^{4}$

Step 4

Rewrite ${\sqrt[5]{x}}^{4}$ as $\sqrt[5]{x^{4}}$ .

$\sqrt[5]{x^{4}}$