Find the product. Assume variables represent positive real numbers.
-$y ^ { 1 / 3 } \left( y ^ { 4 / 9 } - 4 y ^ { 2 / 9 } \right)$
A) $y ^ { 4 / 27 } - 4 y ^ { 2 / 27 }$
B) $y ^ { - 1 / 9 } - 4 y ^ { 1 / 9 }$
C) $y ^ { 7 / 9 } - 4 y ^ { 5 / 9 }$
D) $y ^ { 3 / 4 } - 4 y ^ { 3 / 2 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $y^{1/3} \cdot y^{4/9} = y^{(1/3)+(4/9)} = y^{7/9}$ and $y^{1/3} \cdot y^{2/9} = y^{(1/3)+(2/9)} = y^{5/9}$.

Find the Product y1/3(y4/9−4y2/9)y ^ { 1 / 3 } \left( y ^ { 4 / 9 } - 4 y ^ { 2 / 9 } \right)y1/3(y4/9−4y2/9)

Find the Product $y ^ { 1 / 3 } \left( y ^ { 4 / 9 } - 4 y ^ { 2 / 9 } \right)$