Simplify (x^-2)/(3x^-3)

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

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

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

Simplify the numerator.

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

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

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

Add $- 2$ and $3$ .

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

Simplify $x^{1}$ .

$\frac{x}{3}$