Partly, the answer depends on whether you are doing programming or doing math.
The divisor bar also carries implicit parentheses. The expression could properly and unambiguously be written
8÷[2(2+2)] so that 2(2+2) all appears under the divisor bar, where [] indicates the implicit parentheses of the divisor bar.
In programming, the expression could be interpreted as
8/2*4.
WWSS?
(What would Spock say ?)
Geno
PS I sure wish they had posed this question on the Big Bang Theory before the final episode. Sheldon would have settled it.