Algebra Examples

$x^{2} \sqrt{36 x^{4} y^{4}}$

Step 1

Rewrite $36 x^{4} y^{4}$ as ${(6 x^{2} y^{2})}^{2}$ .

$x^{2} \sqrt{{(6 x^{2} y^{2})}^{2}}$

Step 2

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

$x^{2} (6 x^{2} y^{2})$

Step 3

Rewrite using the commutative property of multiplication.

$6 x^{2} (x^{2} y^{2})$

Step 4

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

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Step 4.1

Move $x^{2}$ .

$6 (x^{2} x^{2}) y^{2}$

Step 4.2

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

$6 x^{2 + 2} y^{2}$

Step 4.3

Add $2$ and $2$ .

$6 x^{4} y^{2}$