Which of the following is an equivalent expression to 1/2(9 − 7^0)+ (−29)^0 ?

1 answer

The exponent of 0 means that any non-zero number raised to the power of 0 is equal to 1. So, (-29)^0 = 1. Similarly, 7^0 = 1.

Therefore, the expression becomes 1/2(9 - 1) + 1/2 = 1/2(8) + 1/2.

Multiplying 1/2 by 8 gives us 8/2, which simplifies to 4.

Therefore, an equivalent expression is 4 + 1/2.