Find the product. Assume variables represent positive real numbers.
-$$\mathrm { y } ^ { 1 / 3 } \left( \mathrm { y } ^ { 4 / 9 } - 6 \mathrm { y } ^ { 2 / 9 } \right)$$
A) $y ^ { 7 / 9 } - 6 y ^ { 5 / 9 }$
B) $y ^ { 3 / 4 } - 6 y ^ { 3 / 2 }$
C) $y ^ { 4 / 27 } - 6 y ^ { 2 / 27 }$
D) $y ^ { - 1 / 9 } - 6 y ^ { 1 / 9 }$

Question

Quizplus · Accepted Answer

When multiplying terms 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 $y^{1/3} \cdot (-6y^{2/9}) = -6y^{(1/3 + 2/9)} = -6y^{5/9}$.

Find the Product y1/3(y4/9−6y2/9)\mathrm { y } ^ { 1 / 3 } \left( \mathrm { y } ^ { 4 / 9 } - 6 \mathrm { y } ^ { 2 / 9 } \right)y1/3(y4/9−6y2/9)

Find the Product $\mathrm { y } ^ { 1 / 3 } \left( \mathrm { y } ^ { 4 / 9 } - 6 \mathrm { y } ^ { 2 / 9 } \right)$