Algebra Examples

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

Step 1

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

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

Step 2

Simplify the numerator.

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Step 2.1

Multiply $x^{- 2}$ by $x^{3}$ by adding the exponents.

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Step 2.1.1

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

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

Step 2.1.2

Add $- 2$ and $3$ .

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

Step 2.2

Simplify $x^{1}$ .

$\frac{x}{3}$