Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent
positive real numbers.
-$$\mathrm { x } ^ { 1 / 3 } \cdot \mathrm { x } ^ { 2 / 3 }$$
A) $x ^ { 2 / 9 }$
B) $x$
C) $\frac { 1 } { x }$
D) $x ^ { 2 / 3 }$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Here, $1/3 + 2/3 = 3/3 = 1$, so the answer is $x^1$, which simplifies to $x$.

Perform the Indicated Operations x1/3⋅x2/3\mathrm { x } ^ { 1 / 3 } \cdot \mathrm { x } ^ { 2 / 3 }x1/3⋅x2/3

Perform the Indicated Operations $\mathrm { x } ^ { 1 / 3 } \cdot \mathrm { x } ^ { 2 / 3 }$