Perform the operation and simplify, expressing answer with a positive exponent in lowest terms: $$\left( x ^ { 2 / 3 } \right) \left( x ^ { 1 / 5 } \right)$$
A) $x ^ { 3 / 8 }$
B) $x ^ { 2 / 15 }$
C) $x ^{13 / 15}$
D) $2 x$

Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents: $x^{2/3} \cdot x^{1/5} = x^{(2/3) + (1/5)} = x^{(10/15) + (3/15)} = x^{13/15}$.

Perform the Operation and Simplify, Expressing Answer with a Positive (x2/3)(x1/5)\left( x ^ { 2 / 3 } \right) \left( x ^ { 1 / 5 } \right)(x2/3)(x1/5)

Perform the Operation and Simplify, Expressing Answer with a Positive $\left( x ^ { 2 / 3 } \right) \left( x ^ { 1 / 5 } \right)$