Simplify (x^-3x^5)/(3x^4)

$\frac{x^{- 3} x^{5}}{3 x^{4}}$

Step 1

Multiply $x^{- 3}$ by $x^{5}$ by adding the exponents.

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

$\frac{x^{- 3 + 5}}{3 x^{4}}$

Add $- 3$ and $5$ .

$\frac{x^{2}}{3 x^{4}}$

Step 2

Cancel the common factor of $x^{2}$ and $x^{4}$ .

Multiply by $1$ .

$\frac{x^{2} \cdot 1}{3 x^{4}}$

Cancel the common factors.

Factor $x^{2}$ out of $3 x^{4}$ .

$\frac{x^{2} \cdot 1}{x^{2} (3 x^{2})}$

Cancel the common factor.

$\frac{x^{2} \cdot 1}{x^{2} (3 x^{2})}$

Rewrite the expression.

$\frac{1}{3 x^{2}}$