Multiply.
-$10 x ^ { 9 } \cdot 5 x ^ { 6 }$
A) $50 x ^{15}$
B) $50 x^{ 54}$
C) $100 x^{ 15}$
D) $15 x^{ 15}$

Name: Multiply. -$10 x ^ { 9 } \cdot 5 x ^ { 6 }$ A) $50 x ^{15}$ B) $50 x^{ 54}$ C) $100 x^{ 15}$ D) $15 x^{ 15}$
Brand: Quizplus
Rating: 4.9 (36 reviews)

Question

Quizplus · Accepted Answer

To multiply two monomials, we multiply the coefficients and add the exponents of the same variable. So in this case, we have:
\begin{align*}
10x^9 \cdot 5x^6 &= (10\cdot 5) \cdot (x^9 \cdot x^6)\
&=50 x^{9+6}\
&=50 x^{15}
\end{align*} 
Therefore, our answer is choice A.

Multiply - 10x9⋅5x610 x ^ { 9 } \cdot 5 x ^ { 6 }10x9⋅5x6

Multiply
- $10 x ^ { 9 } \cdot 5 x ^ { 6 }$