The expression given is ( x + y^{12} ), with ( x = 12 ) and ( y = 4 ). To evaluate this expression, we substitute the values of ( x ) and ( y ) into the expression:
( x + y^{12} = 12 + 4^{12} )
Since ( 4^{12} ) is a very large number, the significant value in this expression comes from ( 4^{12} ), and the addition of 12 does not change the order of magnitude of the result. Therefore, the value of ( x + y^{12} ) is much greater than the options provided (A. 6, B. 8, C. 14). It seems there might be a typo in the expression or the options provided. If the expression was meant to be ( x + y \times 12 ), then the answer would be:
( x + y \times 12 = 12 + 4 \times 12 = 12 + 48 = 60 )
However, since this option is not available, and based on the provided options, the closest correct answer, assuming the expression is ( x + y ), would be:
( x + y = 12 + 4 = 16 )
But since 16 is not an option, and without further context, the best match from the given options would be C. 14, even though it is not the exact answer.
