Posted by ron on Wednesday, December 7, 2011 at 5:42pm.
I have a problem that I have no idea how to solve. The instruction say to solve and check the given equation by rational exponents. The equation is: x to the 5/2 power = 32. Can you show me how to do this step by step?

algebra  Steve, Wednesday, December 7, 2011 at 11:03pm
sure. x^5/2 is the square root of x^5.
So, you want x^5 = 32^2 = 2^10
x^5 = (2^2)^5
take the fifth root of both sides:
x = 2^2 = 4
So, the square root of 4 is 2
2^5 = 4^(5/2) = 32 
algebra  ron, Thursday, December 8, 2011 at 11:41am
Thanks Steve.