Question

simplify the radical expression.
\sqrt3{x^{9}}
write your answer in the form a, \sqrt3{b}, or a\sqrt3{b}, where a and b are constants or expressions in x. use at most one radical in your answer, and at most one absolute value symbol in your expression for a.

Explanation:

Step1: Rewrite radical as exponent

$\sqrt[3]{x^9} = (x^9)^{\frac{1}{3}}$

Step2: Apply exponent power rule

$(x^9)^{\frac{1}{3}} = x^{9 \times \frac{1}{3}} = x^3$

Answer:

$x^3$