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I think that the last (-2) in the exponent is actually elevated and not multiplied.
not correct priority order but the final answe is correct
( − 2 − 2 ) − 2 = ( − 2 2 1 ) − 2 = ( − 4 1 ) 2 1 = 1 6
Also tought of it like this
( − 2 − 2 ) − 2 = ( − 2 ) 4 = 2 4 = 1 6
first : solve the archs ... = (1/4)^-2 (turned the value) second step : we will turn it again to remove the minus , so it's 4^2 =16
(-2^{-2})^{-2} = \frac{1}{-2^{-4}} = -2^{4} = -2 \times -2 \times -2 \times -2 = \boxed {16}
First solve the number in the brace the number is (-2)power -2 that means (1/-2) power 2 so answer in brace is (-1/4) so next problem in the question is (-1/4)power-2 that means 4 power 2 answer finally is 16
(-2^-2^-2 = (-2)^4 =16
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( − 2 − 2 ) − 2 = ( − 2 ) 4 = 1 6