$4 a^{4} b^{5} c \cdot 9 b c^{4} d^{2}$
A) $36 a^{4} b^{4} c^{3} d^{2}$
B) $36 a^{4} b^{5} c^{4} d^{2}$
C) $13 a^{4} b^{6} c^{5} d^{2}$
D) $36 a^{4} b^{6} c^{5} d^{2}$

Question

Quizplus · Accepted Answer

The expression is simplified by multiplying the coefficients and adding the exponents of like bases: $4 \times 9 = 36$, $a^{4}$, $b^{5+1} = b^{6}$, $c^{1+4} = c^{5}$, $d^{2}$. Thus, the result is $36 a^{4} b^{6} c^{5} d^{2}$.

4a4b5c⋅9bc4d24 a^{4} b^{5} c \cdot 9 b c^{4} d^{2}4a4b5c⋅9bc4d2 A) 36a4b4c3d236 a^{4} b^{4} c^{3} d^{2}36a4b4c3d2

$4 a^{4} b^{5} c \cdot 9 b c^{4} d^{2}$ A) $36 a^{4} b^{4} c^{3} d^{2}$