Answers − Powers, Roots and Surds

  1.   4^5/2 =

45/2	=	√(45) = √1024 = 32
Or
45/2	=	(√4)5 = 25 = 32

  2.   25^3/2 =

253/2	=	√(253) = √15625 = 125
Or
253/2	=	(√25)3 = 53 = 125

  3.   8^4/3 =

84/3	=	3√(84) = 3√4096 = 16
Or
84/3	=	(3√8)4 = 24 = 16

  4.   27^2/3 =

272/3	=	3√(272) = 3√729 = 9
Or
272/3	=	(3√27)2 = 32 = 9

  5.   32^2/5 =

322/5	=	(322)1/5 = 10241/5 = 4
Or
322/5	=	(321/5)2 = 22 = 4

  6.   15^3/2 =

  7.   40^3/2 =

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