Algebra Examples

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

Step 1

Rewrite $x^{7}$ as ${(x^{3})}^{2} x$ .

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Step 1.1

Factor out $x^{6}$ .

$x^{3} \sqrt{x^{6} x}$

Step 1.2

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$x^{3} \sqrt{{(x^{3})}^{2} x}$

Step 2

Pull terms out from under the radical.

$x^{3} (x^{3} \sqrt{x})$

Step 3

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

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Step 3.1

Move $x^{3}$ .

$x^{3} x^{3} \sqrt{x}$

Step 3.2

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

$x^{3 + 3} \sqrt{x}$

Step 3.3

Add $3$ and $3$ .

$x^{6} \sqrt{x}$