Algebra Examples

$\frac{x^{4}}{x^{4} y^{- 2} y^{4}}$

Step 1

Multiply $y^{- 2}$ by $y^{4}$ by adding the exponents.

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Step 1.1

Move $y^{4}$ .

$\frac{x^{4}}{x^{4} (y^{4} y^{- 2})}$

Step 1.2

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

$\frac{x^{4}}{x^{4} y^{4 - 2}}$

Step 1.3

Subtract $2$ from $4$ .

$\frac{x^{4}}{x^{4} y^{2}}$

Step 2

Cancel the common factor of $x^{4}$ .

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Step 2.1

Cancel the common factor.

$\frac{x^{4}}{x^{4} y^{2}}$

Step 2.2

Rewrite the expression.

$\frac{1}{y^{2}}$