Find the product. Assume variables represent positive real numbers.
-$$y ^ { 3 / 13 } \left( y ^ { 5 / 13 } - 3 y ^ { 2 / 13 } \right)$$
A) $y ^ { - 2 / 13 } - 3 y ^ { 1 / 13 }$
B) $y ^ { 3 / 5 } - 3 y ^ { 3 / 2 }$
C) $y ^ { 8 / 13 } - 3 y ^ { 5 / 13 }$
D) $y ^ { 15 / 169 } - 3 y ^ { 6 / 169 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $y^{3/13} \times y^{5/13} = y^{(3/13 + 5/13)} = y^{8/13}$ and $y^{3/13} \times 3y^{2/13} = 3y^{(3/13 + 2/13)} = 3y^{5/13}$.

Find the Product y3/13(y5/13−3y2/13)y ^ { 3 / 13 } \left( y ^ { 5 / 13 } - 3 y ^ { 2 / 13 } \right)y3/13(y5/13−3y2/13)

Find the Product $y ^ { 3 / 13 } \left( y ^ { 5 / 13 } - 3 y ^ { 2 / 13 } \right)$