What is 5 raised to the 2.5 power?

Veronica.

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- Jan 11th 2010, 08:36 PMVeronica1999Exponents
What is 5 raised to the 2.5 power?

Veronica. - Jan 11th 2010, 08:44 PMJhevon
- Jan 11th 2010, 08:50 PMVeronica1999
Can I get the answer without using a calculator?

- Jan 11th 2010, 08:56 PMJhevon
not exactly. you could write it using radicals for the exact answer. that would be $\displaystyle 5^{2.5} = 5^{5/2} = \sqrt {5^5} = \sqrt {3125}$

otherwise, you could get a decimal approximation by hand. but that is way more work than this is worth, and i doubt your professor would want you to do that - Jan 12th 2010, 01:05 AMaidan
- Jan 12th 2010, 01:23 AMBabyMilo
you could use Binomial Expansion.