Algebra Examples

$\frac{x y^{- 6}}{x^{- 4} y^{2}}$

Step 1

Move $y^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{x}{x^{- 4} y^{2} y^{6}}$

Step 2

Multiply $y^{2}$ by $y^{6}$ by adding the exponents.

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Step 2.1

Move $y^{6}$ .

$\frac{x}{x^{- 4} (y^{6} y^{2})}$

Step 2.2

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

$\frac{x}{x^{- 4} y^{6 + 2}}$

Step 2.3

Add $6$ and $2$ .

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

Step 3

Move $x^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 4

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

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Step 4.1

Multiply $x$ by $x^{4}$ .

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Step 4.1.1

Raise $x$ to the power of $1$ .

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

Step 4.1.2

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

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

Step 4.2

Add $1$ and $4$ .

$\frac{x^{5}}{y^{8}}$