Algebra Examples

$\frac{x^{4} y^{3} y^{4}}{x^{6}}$

Step 1

Multiply $y^{3}$ by $y^{4}$ by adding the exponents.

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Step 1.1

Move $y^{4}$ .

$\frac{x^{4} (y^{4} y^{3})}{x^{6}}$

Step 1.2

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

$\frac{x^{4} y^{4 + 3}}{x^{6}}$

Step 1.3

Add $4$ and $3$ .

$\frac{x^{4} y^{7}}{x^{6}}$

Step 2

Cancel the common factor of $x^{4}$ and $x^{6}$ .

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Step 2.1

Factor $x^{4}$ out of $x^{4} y^{7}$ .

$\frac{x^{4} (y^{7})}{x^{6}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{4}$ out of $x^{6}$ .

$\frac{x^{4} (y^{7})}{x^{4} x^{2}}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{4} y^{7}}{x^{4} x^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{y^{7}}{x^{2}}$