Simplify (x^-8*x^5)/(x^-6)

$\frac{x^{- 8} \cdot x^{5}}{x^{- 6}}$

Multiply $x^{- 8}$ by $x^{5}$ by adding the exponents.

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

$\frac{x^{- 8 + 5}}{x^{- 6}}$

Add $- 8$ and $5$ .

$\frac{x^{- 3}}{x^{- 6}}$

Move $x^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{- 3} x^{6}$

Multiply $x^{- 3}$ by $x^{6}$ by adding the exponents.

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

$x^{- 3 + 6}$

Add $- 3$ and $6$ .

$x^{3}$