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

Algebra ->  Finance -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Think of 3.5 as 7%2F2. So 5%5E3.5 is equivalent to


Start with the given expression


Rewrite the exponent as a radical using the identity


Evaluate 5%5E7 to get 78,125


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