Simplify the expression. Write the result using positive exponents only.
-$\frac { - 7 y m ^ { 4 } n } { - 2 y m ^ { 7 } n }$
A) $\frac { 1 } { 5 m ^ { 3 } }$
B) $\frac { 5 } { m ^ { 3 } }$
C) $\frac { 7 } { 2 m ^ { 3 } }$
D) $\frac { 5 y ^ { 2 } n ^ { 2 } } { m ^ { 3 } }$

Question

Quizplus · Accepted Answer

Simplifying the given expression, the negative signs cancel each other out, and you subtract the exponents of like bases in the denominator from those in the numerator: $m^4 / m^7 = m^{4-7} = m^{-3}$. The $y$ and $n$ terms cancel out because they are the same in the numerator and denominator, leaving $\frac{7}{2m^3}$.

Simplify the Expression −7ym4n−2ym7n\frac { - 7 y m ^ { 4 } n } { - 2 y m ^ { 7 } n }−2ym7n−7ym4n​

Simplify the Expression $\frac { - 7 y m ^ { 4 } n } { - 2 y m ^ { 7 } n }$