SOLUTION: how do i manually find the power of numbers with decimal exponent. E.g 3^2.5 , 5^1.3 etc

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Question 612621: how do i manually find the power of numbers with decimal exponent. E.g 3^2.5 , 5^1.3 etc
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use the fact that:
a%5En%2Aa%5Em+=+a%5E%28m%2Bn%29
3%5E%282.5%29+=+3%5E%28%282%2B0.5%29%29=3%5E2%2A3%5E0.5=9%2Asqrt%283%29
5%5E%281.3%29+=+5%5E%28%281%2B0.3%29%29=5%5E1%2A5%5E%280.3%29+=+5%2A5%5E%280.3%29
5%5E%280.3%29+=+1.62065659669... I don't know how you would get this manually!
5%5E%281.3%29+=+5%2A1.62=8.1approx.