Multiply.
-$4 a ^ { 4 } b ^ { 3 } c \cdot 8 b c ^ { 5 } d ^ { 2 }$
A) $32 a ^ { 4 } b ^ { 3 } c ^ { 5 } d ^ { 2 }$
B) $12 a ^ { 4 } b ^ { 4 } c ^ { 6 } d ^ { 2 }$
C) $32 a ^ { 4 } b ^ { 4 } c ^ { 6 } d ^ { 2 }$
D) $32 a ^ { 4 } b ^ { 2 } c ^ { 4 } d ^ { 2 }$

Question

Quizplus · Accepted Answer

To multiply two terms with the same base, we add their exponents. Applying this rule, we get: 
$$4\cdot 8=32$$
$$a^4 \cdot b^3 \cdot b \cdot c \cdot c^5 \cdot d^2 = a^4 \cdot b^4 \cdot c^6 \cdot d^2$$
Therefore, the final answer is: 
$$32 a ^ { 4 } b ^ { 4 } c ^ { 6 } d ^ { 2 }$$
which is choice C.

Multiply - 4a4b3c⋅8bc5d24 a ^ { 4 } b ^ { 3 } c \cdot 8 b c ^ { 5 } d ^ { 2 }4a4b3c⋅8bc5d2

Multiply
- $4 a ^ { 4 } b ^ { 3 } c \cdot 8 b c ^ { 5 } d ^ { 2 }$