Algebra Examples

$\frac{y^{- 7}}{x^{7} x^{8} y^{- 7}}$

Step 1

Multiply $x^{7}$ by $x^{8}$ by adding the exponents.

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Step 1.1

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

$\frac{y^{- 7}}{x^{7 + 8} y^{- 7}}$

Step 1.2

Add $7$ and $8$ .

$\frac{y^{- 7}}{x^{15} y^{- 7}}$

Step 2

Cancel the common factor of $y^{- 7}$ .

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Step 2.1

Cancel the common factor.

$\frac{y^{- 7}}{x^{15} y^{- 7}}$

Step 2.2

Rewrite the expression.

$\frac{1}{x^{15}}$