Use the properties of exponents to simplify the expression. Write with positive exponents.
-$$\left( x ^ { 1 / 3 } y ^ { 3 / 5 } \right) \left( x ^ { - 1 / 3 } y ^ { 3 / 2 } \right)$$

Question

Quizplus · Accepted Answer

To simplify the expression, use the property of exponents that states when you multiply powers with the same base, you add the exponents: $(x^{a}x^{b} = x^{a+b})$ and $(y^{a}y^{b} = y^{a+b})$. Applying this to the given expression: $(x^{1/3} * x^{-1/3} = x^{1/3 - 1/3} = x^{0} = 1)$ and $(y^{3/5} * y^{3/2} = y^{3/5 + 3/2} = y^{6/10 + 15/10} = y^{21/10})$. Therefore, the simplified expression is $y^{21/10}$.

Use the Properties of Exponents to Simplify the Expression (x1/3y3/5)(x−1/3y3/2)\left( x ^ { 1 / 3 } y ^ { 3 / 5 } \right) \left( x ^ { - 1 / 3 } y ^ { 3 / 2 } \right)(x1/3y3/5)(x−1/3y3/2)

Use the Properties of Exponents to Simplify the Expression $\left( x ^ { 1 / 3 } y ^ { 3 / 5 } \right) \left( x ^ { - 1 / 3 } y ^ { 3 / 2 } \right)$