SOLUTION: I hope this is easy for you! I think I have it right, but I'm not positive. I need to simply this radical expression: -(negative)(sq.root of:625y(squared)z(to the fourth pow

Algebra ->  Radicals -> SOLUTION: I hope this is easy for you! I think I have it right, but I'm not positive. I need to simply this radical expression: -(negative)(sq.root of:625y(squared)z(to the fourth pow      Log On


   



Question 179993This question is from textbook Algebra 2
: I hope this is easy for you! I think I have it right, but I'm not positive.
I need to simply this radical expression:
-(negative)(sq.root of:625y(squared)z(to the fourth power))
So far, I have taken the square root of 625 (25) and put that outside the radical.
-(negative)25(sq.root of:y(squared)z(to the fourth power))
Next, I made y2 into y and put it outside the radical and did the same with z
-(negative)25yz(squared)
Next, I learned that since the exponent on "y" (which is 1) is odd, and the index of the radical is 2, since its a square root, I need to place absolute value signs around the "y".
-(negative)25/y/z(squared)
Is this correct?
Thank you.
This question is from textbook Algebra 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplifyy this radical expression:
-(negative)(sq.root of:625y(squared)z(to the fourth power))
-------------------------
-sqrt[625y^2*z^4]
= -25yz^2
============
Cheers,
Stan H.