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A fractional exponent combines a root and a power: b^(p/q) is the qth root of b raised to the p, and it makes no difference which you do first.
Fractional exponent
b^(p/q) = (ᵍ√b)ᵖ = ᵍ√(bᵖ)
The cube root of 8 is 2, and 2² = 4.
Because (−8)^(1/2) has no real value, and even (−8)^(1/3) is handled inconsistently by different conventions.