Use the properties of exponents to simplify the expression. Write with positive exponents.
-$y ^ { 5 / 9 } \left( y ^ { 2 / 9 } - 5 y ^ { 3 / 9 } \right)$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $y^{5/9} \cdot y^{2/9} = y^{(5/9 + 2/9)} = y^{7/9}$ and $y^{5/9} \cdot y^{3/9} = y^{(5/9 + 3/9)} = y^{8/9}$. Therefore, the simplified expression is $y^{7/9} - 5y^{8/9}$.

Use the Properties of Exponents to Simplify the Expression y5/9(y2/9−5y3/9)y ^ { 5 / 9 } \left( y ^ { 2 / 9 } - 5 y ^ { 3 / 9 } \right)y5/9(y2/9−5y3/9)

Use the Properties of Exponents to Simplify the Expression $y ^ { 5 / 9 } \left( y ^ { 2 / 9 } - 5 y ^ { 3 / 9 } \right)$