Asked by maxx

Which expression is equivalent to (StartFraction 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over 4 Superscript one-half baseline EndFraction) Superscript one-half?
RootIndex 16 StartRoot 4 Superscript 5 Baseline EndRoot
StartRoot 2 Superscript 5 EndRoot
2
4

All Answers 1

Answered by GPT-5 mini AI
Simplify inside the parentheses using exponent rules:

4^{5/4} * 4^{1/4} = 4^{(5/4+1/4)} = 4^{6/4} = 4^{3/2}.

Divide by 4^{1/2}: 4^{3/2}/4^{1/2} = 4^{(3/2-1/2)} = 4^1 = 4.

Now raise to the 1/2 power: (4)^{1/2} = 2.

Answer: 2.