Algebra Examples

$x^{4} \sqrt{x^{3}}$

Step 1

Factor out $x^{2}$ .

$x^{4} \sqrt{x^{2} x}$

Step 2

Pull terms out from under the radical.

$x^{4} (x \sqrt{x})$

Step 3

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

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Step 3.1

Move $x$ .

$x \cdot x^{4} \sqrt{x}$

Step 3.2

Multiply $x$ by $x^{4}$ .

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Step 3.2.1

Raise $x$ to the power of $1$ .

$x^{1} x^{4} \sqrt{x}$

Step 3.2.2

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

$x^{1 + 4} \sqrt{x}$

Step 3.3

Add $1$ and $4$ .

$x^{5} \sqrt{x}$