Multiply the following. $\left( - 6 a b ^ { 3 } c \right) \left( 14 a ^ { 5 } c \right)$
A) $- 84 a ^ { 5 } b ^ { 4 } c ^ { 2 }$
B) $- 84 a ^ { 6 } b ^ { 3 } c$
C) $- 84 a ^ { 6 } b ^ { 3 } c ^ { 2 }$
D) $- 84 a ^ { 6 } b ^ { 4 } c ^ { 2 }$

Question

Quizplus · Accepted Answer

When multiplying the given expressions, you multiply the coefficients (-6 and 14) to get -84. For the variables, you add the exponents for like bases: $a^1$ and $a^5$ become $a^{1+5} = a^6$, $b^3$ remains as is since there's no other $b$ term to combine with, and $c^1$ and $c^1$ become $c^{1+1} = c^2$. Therefore, the correct answer is $-84 a^{6} b^{3} c^{2}$.

Multiply the Following (−6ab3c)(14a5c)\left( - 6 a b ^ { 3 } c \right) \left( 14 a ^ { 5 } c \right)(−6ab3c)(14a5c)

Multiply the Following $\left( - 6 a b ^ { 3 } c \right) \left( 14 a ^ { 5 } c \right)$