Question

simplify.
$\frac{x^{-6}}{x^{5}}$
write your answer with a positive exponent only.

Explanation:

Step1: Apply exponent subtraction rule

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

Step2: Calculate the exponent

$x^{-6-5}=x^{-11}$

Step3: Convert to positive exponent

$x^{-11}=\frac{1}{x^{11}}$

Answer:

$\frac{1}{x^{11}}$