Question

question

simplify: \\(\sqrt{x^6}\\).

provide your answer below:

Explanation:

Express the radical using fractional exponents

$$ \sqrt{x^6} = (x^6)^{\frac{1}{2}} $$

Apply the power of a power rule

$$ (x^6)^{\frac{1}{2}} = x^{6 \cdot \frac{1}{2}} = x^3 $$

Apply absolute value for even roots of even powers

$$ \sqrt{x^6} = |x^3| $$

Answer:

\(|x^3|\)