Algebra Examples

$\frac{x^{- 6}}{x^{- 8} y^{- 5} y^{2}}$

Step 1

Multiply $y^{- 5}$ by $y^{2}$ by adding the exponents.

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Step 1.1

Move $y^{2}$ .

$\frac{x^{- 6}}{x^{- 8} (y^{2} y^{- 5})}$

Step 1.2

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

$\frac{x^{- 6}}{x^{- 8} y^{2 - 5}}$

Step 1.3

Subtract $5$ from $2$ .

$\frac{x^{- 6}}{x^{- 8} y^{- 3}}$

Step 2

Move $x^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{x^{- 6} x^{8}}{y^{- 3}}$

Step 3

Move $y^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{- 6} x^{8} y^{3}$

Step 4

Multiply $x^{- 6}$ by $x^{8}$ by adding the exponents.

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Step 4.1

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

$x^{- 6 + 8} y^{3}$

Step 4.2

Add $- 6$ and $8$ .

$x^{2} y^{3}$