Why does a^1/4 x b^2/4 = (ab^2)^1/4?

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Excelsior, BS Finance, pursuing degree

Studying:

Completed:
CLEP: Hum. (67), Hist. of U.S. I (74), Hist. of U.S. II (71), Intro. Psych. (69), Intro. Soc. (72), Soc. Sci. and Hist. (74), Western Civ I (72), Western Civ II (70), Am. Lit. (60), Intro. to Educ. Psych. (62), P. of Management (74), P. of Market. (74), Intro. Bus. Law (67), P. of Accounting (60), AmGov (68)
DSST: Ethics in Am. (76), P. of Super.(67), HRM (65), Intro to Bus. (70), MIS (65), P. of Fin (62), M&B (65), P. of Stat. (68)
ECE: OB (B)
TECEP:: IntFin, SecAna

Total Credits: 114

Hopefully you can understand this from the notation. I think if you write it down the solution will make more sense. It may help to clarify it if you write the equation reversed
(i.e. (ab^2)^1/4=a^1/4*b^2/4)

a^1/4*b^2/4=(ab^2)^1/4 (remember ONLY the "b" term is squared)

is the same as: a^1/4*b^2/4=(a^1b^2)^1/4

So you could say: a^1/4*b^2/4=(a^1)^1/4*(b^2)^1/4

which is the same as saying: a^((1*1)/4)*b^((2*1)/4)

Hope this helps!

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Pursuing B.S. Nuclear Technologies, Excelsior College

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CLEP
U.S. Hist I(57), U.S. Hist II(58), Intro Soc(67), A&I Lit(78), American Gov.(61)
DSST
Intro to IS(73), MIS(65), Ethics In America(68), Intro World Rel.(71), General Anthropology(65), Astronomy(69)
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