Question

simplify the radical expression.
\sqrt{x^{4}}
write your answer in the form a\sqrt{b}, or a\sqrt{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

$\sqrt{x^4} = (x^4)^{\frac{1}{2}}$

Step2: Simplify the exponent

$(x^4)^{\frac{1}{2}} = x^{4 \times \frac{1}{2}} = x^2$

Answer:

$x^2$