SOLUTION: Simplify expression showing work (25y^2)^1/2 (fraction 1/2)

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify expression showing work (25y^2)^1/2 (fraction 1/2)      Log On


   

Question 188525: Simplify expression showing work
(25y^2)^1/2 (fraction 1/2)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2825y%5E2%29%5E%281%2F2%29 Start with the given expression.


sqrt%2825%2Ay%5E2%29 Convert to radical notation.


sqrt%2825%29%2Asqrt%28y%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


5%2Asqrt%28y%5E2%29 Take the square root of 25 to get 5.


5y Take the square root of y%5E2 to get y.



==================================================

Answer:


So %2825y%5E2%29%5E%281%2F2%29 simplifies to 5y


In other words, %2825y%5E2%29%5E%281%2F2%29=5y where y%3E=0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify expression showing work
(25y^2)^1/2
===
= sqrt(25y^2)
= 5y
==========
Cheers,
Stan H.