Answer
9
Work Step by Step
$10-[(4-5)^{2}+(12-14)]^{4}$
To simplify this expression, first perform the operations in parentheses.
$10-[(-1)^{2}+(-2)]^{4}$
Next, perform the operations in brackets.
$10-[(-1\times-1)+(-2)]^{4}=10-[1+(-2)]^{4}=10-[-1]^{4}$
Finally, perform the remaining operations.
$10-(-1\times-1\times-1\times-1)=10-(1)=9$