Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$$\sqrt [ 3 ] { x } \cdot \sqrt [ 3 ] { x ^ { 14 } }$$
A) $x ^ { 6 }$
B) $x ^ { 4 }$
C) $x ^ { 5 }$
D) $5 x$

Question

Quizplus · Accepted Answer

When multiplying cube roots, you add the exponents: $\sqrt[3]{x} \cdot \sqrt[3]{x^{14}} = \sqrt[3]{x^{1+14}} = \sqrt[3]{x^{15}} = x^{15/3} = x^5$.

Choose the One Alternative That Best Completes the Statement or Answers