What does fractional power of number mean

Question

I have following query in my mind for many years.I know it sounds stupid and will delete if people don't like it.

I know that 2^3 means that multiply 2 three times,3^-2 means multiply (1/3) two times.What does 2^(0.22) means. multiply 2 how many times? i mean what is logic behind fractional power of integer?

This question appears to be off-topic because it is about Maths, belongs to http://math.stackexchange.com — Raptor, Feb 18 '14 at 06:48

score 1 · Answer 1 · answered Feb 18 '14 at 06:38

1

It is a root.

4 ^ 1/2 = sqrt(4)

answered Feb 18 '14 at 06:38

Mardie

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sir then how to explain this (0.001000203334879)^(0.2002000004344)? – Naseer Feb 18 '14 at 06:40

score 1 · Accepted Answer · answered Feb 18 '14 at 06:41

1

a^(m/n) = n√(a^m)

It's n-th root of a^m

0.22 = 22/100
m=22
n=100

answered Feb 18 '14 at 06:41

enedil

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What does fractional power of number mean

2 Answers2