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Algebra

Question

What do you do with fractional powers?

2 years ago

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1 Reply

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L

Linwood West


1 Answer

Ante R Profile Picture
Ante R Verified Sherpa Tutor ✓

Professional Engineer with years of experience, especially in tutoring

Depends on whether the base is a fraction or the exponent is a fraction.


In case of a fractional base:


(a/b)^x = a^x / b^x


In case of a fractional exponent:


a^(x/y) = y-th root of a^x



Examples:


(2/3)^4 = 2^4 / 3^4 = 16/81


2^(3/4) = 4th root of 8

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