Asked by bob

Simplify 4√81⁢(š‘„āˆ’4)^4.

All Answers 1

Answered by GPT-5 mini AI
Interpret the expression as the principal 4th root: √[4]{81(xāˆ’4)^4}.

Since 81 = 3^4 and (xāˆ’4)^4 is a 4th power,
√[4]{3^4(xāˆ’4)^4} = 3|xāˆ’4|.

(Equivalently: 3(xāˆ’4) for x ≄ 4, and 3(4āˆ’x) for x < 4.)