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

B) $y ^ { 3 / 4 } - 6 y ^ { 3 / 2 }$

C) $y ^ { 7 / 9 } - 6 y ^ { 5 / 9 }$

D) $y ^ { 4 / 27 } - 6 y ^ { 2 / 27 }$

Question

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

B) $y ^ { 3 / 4 } - 6 y ^ { 3 / 2 }$

C) $y ^ { 7 / 9 } - 6 y ^ { 5 / 9 }$

D) $y ^ { 4 / 27 } - 6 y ^ { 2 / 27 }$

Quizplus · Accepted Answer

To find the product, apply the property of exponents that states when multiplying powers with the same base, add their exponents. Thus, $y^{1/3} \cdot y^{4/9} = y^{(1/3) + (4/9)} = y^{7/9}$ and $y^{1/3} \cdot y^{2/9} = y^{(1/3) + (2/9)} = y^{5/9}$, resulting in $y^{7/9} - 6y^{5/9}$.

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

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