Multiply and simplify.
-$$\left( m n ^ { 6 } \right) \left( m ^ { 3 } n ^ { 6 } \right)$$
A) $2 m ^ { 4 } 2 n ^ { 12 }$
B) $m ^ { 4 } n ^ { 12 }$
C) $\mathrm { m } ^ { 3 } \mathrm { n } ^ { 12 }$
D) $m ^ { 3 } n ^ { 36 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $m \times m^3 = m^{1+3} = m^4$ and $n^6 \times n^6 = n^{6+6} = n^{12}$, resulting in $m^4n^{12}$.

Multiply and Simplify (mn6)(m3n6)\left( m n ^ { 6 } \right) \left( m ^ { 3 } n ^ { 6 } \right)(mn6)(m3n6)

Multiply and Simplify $\left( m n ^ { 6 } \right) \left( m ^ { 3 } n ^ { 6 } \right)$