Simplify seventh root of x^2x^5

$\sqrt[7]{x^{2} x^{5}}$

Step 1

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

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

$\sqrt[7]{x^{2 + 5}}$

Add $2$ and $5$ .

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

Step 2

Pull terms out from under the radical, assuming real numbers.

$x$