Use the properties of exponents to simplify. Write with positive exponents.
-$$\left( r ^ { 1 / 3 } \cdot s ^ { 1 / 3 } \right) ^ { 2 }$$
A) $r ^ { 2 / 3 } s ^ { 2 / 3 }$
B) $r ^ { 1 / 6 } { } _ { \mathrm { s } } ^ { 1 / 6 }$
C) $r ^ { 1 / 9 } s ^ { 1 / 9 }$
D) $\mathrm { r } ^ { 2 } \mathrm {~s} ^ { 2 }$

Question

Quizplus · Accepted Answer

When you raise a product to a power, you can apply the exponent to each factor inside the product. Therefore, $(r^{1/3} \cdot s^{1/3})^2 = r^{(1/3)*2} \cdot s^{(1/3)*2} = r^{2/3} \cdot s^{2/3}$.

Use the Properties of Exponents to Simplify (r1/3⋅s1/3)2\left( r ^ { 1 / 3 } \cdot s ^ { 1 / 3 } \right) ^ { 2 }(r1/3⋅s1/3)2

Use the Properties of Exponents to Simplify $\left( r ^ { 1 / 3 } \cdot s ^ { 1 / 3 } \right) ^ { 2 }$