Simplify.
-$\frac { 40 \mathrm {~m} ^ { 5 } \mathrm { p } ^ { 2 } } { 10 \mathrm {~m} ^ { 10 } \mathrm { p } }$
A) $4 \mathrm { mp }$
B) $4 m ^ { 5 } p ^ { 2 }$
C) $\frac { 4 m ^ { 5 } } { p }$
D) $\frac { 4 p } { m ^ { 5 } }$

Question

Quizplus · Accepted Answer

To simplify the given expression, divide both the numerator and the denominator by their greatest common factors. The numerical part $40/10$ simplifies to $4$. For the variables, subtract the exponents in the denominator from those in the numerator: $m^{5-10} = m^{-5}$ and $p^{2-1} = p^1$. This results in $\frac{4p}{m^5}$, which matches option D.

Simplify - 40 m5p210 m10p\frac { 40 \mathrm {~m} ^ { 5 } \mathrm { p } ^ { 2 } } { 10 \mathrm {~m} ^ { 10 } \mathrm { p } }10 m10p40 m5p2​

Simplify
- $\frac { 40 \mathrm {~m} ^ { 5 } \mathrm { p } ^ { 2 } } { 10 \mathrm {~m} ^ { 10 } \mathrm { p } }$