Divide (x^-5)/(x^-6)

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

Step 1

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

$x^{- 5} x^{6}$

Step 2

Multiply $x^{- 5}$ by $x^{6}$ by adding the exponents.

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

$x^{- 5 + 6}$

Add $- 5$ and $6$ .

$x^{1}$

Step 3

Simplify $x^{1}$ .

$x$