Multiply. $\left( 5 x ^ { 5 } \right) ( 9 x ) \left( 6 x ^ { 3 } \right)$
A) $273 x ^ { 9 }$
B) $270 x ^ { 9 }$
C) $275 x ^ { 8 }$
D) $270 x ^ { 8 }$
E) $265 x ^ { 8 }$

Question

Quizplus · Accepted Answer

To multiply these terms, we need to multiply the coefficients and add the exponents of the variables with the same base. 
So, \begin{align*}
\left( 5 x ^ { 5 } ight) ( 9 x ) \left( 6 x ^ { 3 } ight) &= 5 \cdot 9 \cdot 6 \cdot x^5 \cdot x \cdot x^3 \
&= 270 \cdot x^{5+1+3} \
&= 270 \cdot x^9.
\end{align*}
Thus, the answer is B.

Multiply (5x5)(9x)(6x3)\left( 5 x ^ { 5 } \right) ( 9 x ) \left( 6 x ^ { 3 } \right)(5x5)(9x)(6x3)

Multiply $\left( 5 x ^ { 5 } \right) ( 9 x ) \left( 6 x ^ { 3 } \right)$