Simplify 10 root of x^5x^4x^2

$\sqrt[10]{x^{5} \cdot x^{4} \cdot x^{2}}$

Step 1

Multiply $x^{5}$ by $x^{4}$ by adding the exponents.

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

$\sqrt[10]{x^{5 + 4} x^{2}}$

Add $5$ and $4$ .

$\sqrt[10]{x^{9} x^{2}}$

Step 2

Multiply $x^{9}$ by $x^{2}$ by adding the exponents.

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

$\sqrt[10]{x^{9 + 2}}$

Add $9$ and $2$ .

$\sqrt[10]{x^{11}}$

Step 3

Factor out $x^{10}$ .

$\sqrt[10]{x^{10} x}$

Step 4

Pull terms out from under the radical.

$x \sqrt[10]{x}$

Simplify 10 root of x^5*x^4*x^2