# Describe what properties you would need to use to simplify the following expression: (16p^5-12p^3+40p^2))/(4p^2)

Describe what properties you would need to use to simplify the following expression:
$\frac{16{p}^{5}-12{p}^{3}+40{p}^{2}}{4{p}^{2}}$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

ko1la2h1qc
So,
$\frac{{x}^{n}}{{x}^{m}}={x}^{n-m}\phantom{\rule{0ex}{0ex}}\frac{16{p}^{5}}{4{p}^{2}}=4{p}^{5-2}=4{p}^{3}\phantom{\rule{0ex}{0ex}}\frac{12{p}^{3}}{4{p}^{2}}=3{p}^{3-2}=3p\phantom{\rule{0ex}{0ex}}\frac{40{p}^{2}}{4{p}^{2}}=4{p}^{2-2}=4{p}^{0}=4$
Given expression become:
$4{p}^{3}-3p+4$