Evaluate (x^3)/(x^-1*x^5)

$\frac{x^{3}}{x^{- 1} \cdot x^{5}}$

Step 1

Multiply $x^{- 1}$ by $x^{5}$ by adding the exponents.

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

$\frac{x^{3}}{x^{- 1 + 5}}$

Add $- 1$ and $5$ .

$\frac{x^{3}}{x^{4}}$

Step 2

Cancel the common factor of $x^{3}$ and $x^{4}$ .

Multiply by $1$ .

$\frac{x^{3} \cdot 1}{x^{4}}$

Cancel the common factors.

Factor $x^{3}$ out of $x^{4}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{x}$