Algebra Examples

$\frac{x^{- 8}}{x^{4} y^{4} y^{- 3}}$

Step 1

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

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Step 1.1

Move $y^{- 3}$ .

$\frac{x^{- 8}}{x^{4} (y^{- 3} y^{4})}$

Step 1.2

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

$\frac{x^{- 8}}{x^{4} y^{- 3 + 4}}$

Step 1.3

Add $- 3$ and $4$ .

$\frac{x^{- 8}}{x^{4} y^{1}}$

Step 2

Simplify $x^{4} y^{1}$ .

$\frac{x^{- 8}}{x^{4} y}$

Step 3

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

$\frac{1}{x^{4} y x^{8}}$

Step 4

Multiply $x^{4}$ by $x^{8}$ by adding the exponents.

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Step 4.1

Move $x^{8}$ .

$\frac{1}{x^{8} x^{4} y}$

Step 4.2

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

$\frac{1}{x^{8 + 4} y}$

Step 4.3

Add $8$ and $4$ .

$\frac{1}{x^{12} y}$