Simplify the Radical Expression seventh root of x* seventh root of x* seventh root of x

$\sqrt[7]{x} \cdot \sqrt[7]{x} \cdot \sqrt[7]{x}$

Step 1

Multiply $\sqrt[7]{x}$ by $\sqrt[7]{x}$ .

${\sqrt[7]{x}}^{2} \cdot \sqrt[7]{x}$

Step 2

Multiply ${\sqrt[7]{x}}^{2}$ by $\sqrt[7]{x}$ by adding the exponents.

Multiply ${\sqrt[7]{x}}^{2}$ by $\sqrt[7]{x}$ .

Raise $\sqrt[7]{x}$ to the power of $1$ .

${\sqrt[7]{x}}^{2} \cdot {\sqrt[7]{x}}^{1}$

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

${\sqrt[7]{x}}^{2 + 1}$

Add $2$ and $1$ .

${\sqrt[7]{x}}^{3}$

Step 3

Rewrite ${\sqrt[7]{x}}^{3}$ as ${(x^{3})}^{\frac{1}{7}}$ .

$\sqrt[7]{x^{3}}$