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

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

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

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

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

Subtract $2$ from $3$ .

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

Simplify $x^{1}$ .

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

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

$x \cdot x^{3}$

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

Multiply $x$ by $x^{3}$ .

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

$x^{1} x^{3}$

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

$x^{1 + 3}$

Add $1$ and $3$ .

$x^{4}$