SOLUTION: 13) Simplify SR(45x^23) 14) Simplify 4th root of (x^5 divided by 16y^15) 15) Simplify (x1/4 y1/2)2(x2y3)1/2 thanks so much!!

Algebra ->  Expressions -> SOLUTION: 13) Simplify SR(45x^23) 14) Simplify 4th root of (x^5 divided by 16y^15) 15) Simplify (x1/4 y1/2)2(x2y3)1/2 thanks so much!!      Log On


   

Question 175803: 13) Simplify SR(45x^23)

14) Simplify 4th root of (x^5 divided by 16y^15)

15) Simplify (x1/4 y1/2)2(x2y3)1/2
thanks so much!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
13) Simplify SR(45x^23)
I looked at this earlier, didn't know what SR meant. I'm guessing it's square root.
SR(45x^23)
=sqrt%2845x%5E23%29
=sqrt%289%29%2Asqrt%28x%5E22%29%2Asqrt%285%29%2Asqrt%28x%29
= 3x%5E11%2Asqrt%285x%29
14) Simplify 4th root of (x^5 divided by 16y^15)
sqrt%28sqrt%28x%5E5%2F16y%5E15%29%29
=sqrt%28sqrt%28x%5E4%2F16y%5E12%29%29%2Asqrt%28sqrt%28x%2Fy%5E3%29%29
=x%2F2y%5E3%2Asqrt%28sqrt%28x%2Fy%5E3%29%29
=x%2F2y%5E3%2Asqrt%28sqrt%28x%2Fy%29%2Fy%29
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15) Simplify (x1/4 y1/2)2(x2y3)1/2 I assume those are exponents.
%28x%5E%281%2F4%29y%5E%281%2F2%29%29%5E2%2A%28x%5E2y%5E3%29%5E%281%2F2%29
=%28x%5E%281%2F2%29y%29%2A%28xy%5E%283%2F2%29%29
=%28x%5E%283%2F2%29y%5E%285%2F2%29%29
=xy%5E2%2Asqrt%28xy%29