Multiply.
-$\frac { 4 } { 9 } w ^ { 6 } \left( 2 w ^ { 8 } + 2 w ^ { 6 } - \frac { 5 } { 4 } \right)$
A) $\frac { 8 } { 9 } w ^ { 14 } - \frac { 8 } { 9 } w ^ { 12 } + \frac { 5 } { 9 } w ^ { 6 }$
B) $\frac { 4 } { 9 } w ^ { 14 } + \frac { 4 } { 9 } w ^ { 12 } - \frac { 5 } { 9 } w ^ { 6 }$
C) $\frac { 8 } { 9 } w ^ { 8 } + \frac { 8 } { 9 } w ^ { 6 } - \frac { 5 } { 9 }$
D) $\frac { 8 } { 9 } w ^ { 14 } + \frac { 8 } { 9 } w ^ { 12 } - \frac { 5 } { 9 } w ^ { 6 }$

Question

Quizplus · Accepted Answer

When multiplying the terms, coefficients are multiplied and exponents are added when the bases are the same. For the first term, $\frac{4}{9}w^6 \times 2w^8 = \frac{8}{9}w^{14}$, for the second term, $\frac{4}{9}w^6 \times 2w^6 = \frac{8}{9}w^{12}$, and for the third term, $\frac{4}{9}w^6 \times -\frac{5}{4} = -\frac{5}{9}w^6$.

Multiply - 49w6(2w8+2w6−54)\frac { 4 } { 9 } w ^ { 6 } \left( 2 w ^ { 8 } + 2 w ^ { 6 } - \frac { 5 } { 4 } \right)94​w6(2w8+2w6−45​)

Multiply
- $\frac { 4 } { 9 } w ^ { 6 } \left( 2 w ^ { 8 } + 2 w ^ { 6 } - \frac { 5 } { 4 } \right)$