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# What do you do with fractional powers?

3 years ago

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L

Linwood West

1 Answer

Ante R
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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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