Question

simplify.
\\(\frac{10m^{-9}n^{7}p^{-3}}{5m^{6}n^{-5}}\\)
write your answer using only positive exponents.

Explanation:

Step1: Simplify the coefficients

$\frac{10}{5}=2$

Step2: Simplify $m$ terms

$m^{-9-6}=m^{-15}=\frac{1}{m^{15}}$

Step3: Simplify $n$ terms

$n^{7-(-5)}=n^{7+5}=n^{12}$

Step4: Simplify $p$ terms

$p^{-3}=\frac{1}{p^{3}}$

Step5: Combine all simplified terms

$2 \cdot \frac{1}{m^{15}} \cdot n^{12} \cdot \frac{1}{p^{3}}$

Answer:

$\frac{2n^{12}}{m^{15}p^{3}}$