This is nothing but
cuberoot(8^2) = 4
Consider sqrt(4) = 4 ^ 1/2 = squarroot(4^1)
We did the same thing above
Hope this helps!
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Source: Beat The GMAT — Problem Solving |
Good solution, using the multiplication of exponents rule:welcome wrote:(8)^2/3 = (2^3)^2/3 = ((2^3)^1/3)^2 = 2^2 = 4
(x^a)^b = x^(a*b)
so:
8^(2/3) = (2^3)^(2/3) = 2^(3*2/3) = 2^2 = 4

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