SOLUTION: I have been trying to solve this problem for a while. So can you please try and help me understand on how to get a sloution for this question. 5^3.5 I know the answer is 279.50

Question 116150: I have been trying to solve this problem for a while. So can you please try and help me understand on how to get a sloution for this question.
5^3.5
I know the answer is 279.508497187473
What I do not understand is how they reached the answer.
I know 5^3=125 and 5^4=625. But how do you calculate the .5?
Thank you
Crystal
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Think of 3.5 as . So is equivalent to

Start with the given expression

Rewrite the exponent as a radical using the identity

Evaluate to get 78,125

Now take the square root of 78,125 to get 279.508497187473
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