Algebra Examples

$\frac{x^{- 5} y^{4} y^{7}}{x^{- 5}}$

Step 1

Multiply $y^{4}$ by $y^{7}$ by adding the exponents.

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Step 1.1

Move $y^{7}$ .

$\frac{x^{- 5} (y^{7} y^{4})}{x^{- 5}}$

Step 1.2

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

$\frac{x^{- 5} y^{7 + 4}}{x^{- 5}}$

Step 1.3

Add $7$ and $4$ .

$\frac{x^{- 5} y^{11}}{x^{- 5}}$

Step 2

Cancel the common factor of $x^{- 5}$ .

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Step 2.1

Cancel the common factor.

$\frac{x^{- 5} y^{11}}{x^{- 5}}$

Step 2.2

Divide $y^{11}$ by $1$ .

$y^{11}$