without a calculator, how do i determine that :

32^3/5

= 8

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- April 1st 2010, 07:26 PMdymand68evaluation of exponential expression
without a calculator, how do i determine that :

32^3/5

= 8 - April 1st 2010, 07:33 PMmr fantastic
- April 1st 2010, 07:34 PMtonio
- April 1st 2010, 07:54 PMdymand68
the problem is:

evaluate:

32^-3/5

=1/32^3/5

=???

1/8 ?

thus my original question: without a calculator, how do i Know that

32^3/5

= 8

...okay, find the fifth root of 32 and cube it, gotcha - April 1st 2010, 10:02 PMintegral
If you want to be fancy (Giggle)

This does not require a calculator at all!

(take the log of both sides)

log base change formula. (changes and base to two base 10 logs):

and

((This is my 100th post! Whooo! :D ))