Question

simplify.
$\frac{m^{-1}n^{-9}p^{-6}}{m^{3}n^{5}p^{4}}$
write your answer using only positive exponents.

Explanation:

Step1: Apply exponent quotient rule

For each variable, subtract denominator exponent from numerator exponent:
$m^{-1-3}n^{-9-5}p^{-6-4}$

Step2: Calculate exponents

Simplify each exponent value:
$m^{-4}n^{-14}p^{-10}$

Step3: Convert to positive exponents

Rewrite negative exponents as reciprocals with positive exponents:
$\frac{1}{m^{4}n^{14}p^{10}}$

Answer:

$\frac{1}{m^{4}n^{14}p^{10}}$