WHAT IS 1/3 TO THE POWER OF 3/2

Question

+3

433

1

Guest Sep 23, 2014

+129840

+8

Best Answer

(1/3)^3/2 = [(1/3)³]^1/2 = (1/27)^1/2 = [ (1/9)(1/3) ] ^1/2 = √(1/9)*√(1/3) = (1/3)√(1/3) = (1/3)√(1/3)√(3/3) = (√3)/9

CPhill Sep 23, 2014

CPhill · Answer 1 · 2014-09-23T06:17:36

(1/3)^3/2 = [(1/3)³]^1/2 = (1/27)^1/2 = [ (1/9)(1/3) ] ^1/2 = √(1/9)*√(1/3) = (1/3)√(1/3) = (1/3)√(1/3)√(3/3) = (√3)/9