Simplify (x^-7*x^3)/(x^5)

$\frac{x^{- 7} \cdot x^{3}}{x^{5}}$

Multiply $x^{- 7}$ by $x^{3}$ by adding the exponents.

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

$\frac{x^{- 7 + 3}}{x^{5}}$

Add $- 7$ and $3$ .

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

Move $x^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{5} x^{4}}$

Multiply $x^{5}$ by $x^{4}$ by adding the exponents.

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

$\frac{1}{x^{5 + 4}}$

Add $5$ and $4$ .

$\frac{1}{x^{9}}$