(6^2 + 8^2)^1/2 = (125a^3)^1/3 Work out the value of a?
(62 + 82)1/2 = (125a3 )1/3(36+62)1/2 = (125a3 )1/31001/2 = (125a3 )1/3+/- 10 = (125a3 )1/3Using +10 as the left-hand side answer:10 = (125a3 )1/31000 = 125a3 8 = a32 = aUsing -10 as the left-hand side answer:-10 = (125a3 )1/3-1000 = 125a3 -8 = a3-2 = aPutting the answer back into the original question to check: a=2 and a=-2(62 + 82)1/2 = (125 x 23)1/3( 36 + 64) 1/2= (125 x 8)1/31001/2 = 10001/3 = 10(62 + 82)1/2 = (125 x (-2))1/3( 36 + 64) 1/2 = (125 x (-8))1/31001/2 = (-1000)1/3 = -10
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