Find the product. Assume variables represent positive real numbers.
-$$\mathrm { y } ^ { 2 / 17 } \left( \mathrm { y } ^ { 5 / 17 } - 2 \mathrm { y } 4 / 17 \right)$$
A) $y ^ { - 3 / 17 } - 2 y ^ { - 2 / 17 }$
B) $y ^ { 7 / 17 } - 2 y ^ { 6 / 17 }$
C) $\mathrm { y } ^ { 10 / 289 } - 2 \mathrm { y } 8 / 289$
D) $y ^ { 2 / 5 } - 2 y ^ { 2 / 4 }$

Question

Quizplus · Accepted Answer

To find the product, apply the rule for multiplying powers with the same base: add the exponents. For the first term, $y^{2/17} \cdot y^{5/17} = y^{(2/17 + 5/17)} = y^{7/17}$. For the second term, $y^{2/17} \cdot y^{4/17} = y^{(2/17 + 4/17)} = y^{6/17}$. Therefore, the correct product is $y^{7/17} - 2y^{6/17}$.

Find the Product y2/17(y5/17−2y4/17)\mathrm { y } ^ { 2 / 17 } \left( \mathrm { y } ^ { 5 / 17 } - 2 \mathrm { y } 4 / 17 \right)y2/17(y5/17−2y4/17)

Find the Product $\mathrm { y } ^ { 2 / 17 } \left( \mathrm { y } ^ { 5 / 17 } - 2 \mathrm { y } 4 / 17 \right)$