Find the product. Assume variables represent positive real numbers.
-$$6 x ^ { 6 / 5 } \left( x ^ { 11 / 5 } - 3 x \right)$$
A) $6 x ^ { 17 / 5 } - \frac { 18 } { x ^ { 11 / 5 } }$
B) $6 x ^ { 17 / 5 } - 18 x ^ { 11 / 5 }$
C) $\frac { 6 } { x ^ { 17 / 5 } } - 18 x ^ { 11 / 5 }$
D) $\frac { 6 } { x ^ { 17 / 5 } } - \frac { 18 } { x ^ { 11 / 5 } }$

Question

Quizplus · Accepted Answer

To find the product, distribute $6x^{6/5}$ across the parentheses. For the first term, add the exponents: $6/5 + 11/5 = 17/5$, resulting in $6x^{17/5}$. For the second term, $6x^{6/5} \times 3x = 18x^{(6/5 + 5/5)} = 18x^{11/5}$. Therefore, the correct product is $6x^{17/5} - 18x^{11/5}$.

Find the Product 6x6/5(x11/5−3x)6 x ^ { 6 / 5 } \left( x ^ { 11 / 5 } - 3 x \right)6x6/5(x11/5−3x)

Find the Product $6 x ^ { 6 / 5 } \left( x ^ { 11 / 5 } - 3 x \right)$