Pre-Algebra Examples

$\frac{x^{- 2} y^{2}}{x^{4} y^{- 3}}$

Step 1

Move $x^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{y^{2}}{x^{4} y^{- 3} x^{2}}$

Step 2

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

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Step 2.1

Move $x^{2}$ .

$\frac{y^{2}}{x^{2} x^{4} y^{- 3}}$

Step 2.2

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

$\frac{y^{2}}{x^{2 + 4} y^{- 3}}$

Step 2.3

Add $2$ and $4$ .

$\frac{y^{2}}{x^{6} y^{- 3}}$

Step 3

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

$\frac{y^{2} y^{3}}{x^{6}}$

Step 4

Multiply $y^{2}$ by $y^{3}$ 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.

$\frac{y^{2 + 3}}{x^{6}}$

Step 4.2

Add $2$ and $3$ .

$\frac{y^{5}}{x^{6}}$