Precalculus Examples

$\frac{x^{- 2} y^{- 3}}{x^{- 1} y^{0}}$

Step 1

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

$\frac{y^{- 3}}{x^{- 1} y^{0} x^{2}}$

Step 2

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

$\frac{1}{x^{- 1} y^{0} x^{2} y^{3}}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $x^{- 1}$ by $x^{2}$ by adding the exponents.

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Step 3.1.1

Move $x^{2}$ .

$\frac{1}{x^{2} x^{- 1} y^{0} y^{3}}$

Step 3.1.2

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

$\frac{1}{x^{2 - 1} y^{0} y^{3}}$

Step 3.1.3

Subtract $1$ from $2$ .

$\frac{1}{x^{1} y^{0} y^{3}}$

Step 3.2

Simplify $x^{1} y^{0}$ .

$\frac{1}{x y^{3}}$