Question

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

Answer 1

Let's simplify the expression step by step:

1. **Calculate \(7^0\)**: Any non-zero number raised to the power of zero is 1.
\[
7^0 = 1
\]

2. **Evaluate the expression inside the parentheses**:
\[
9 - 7^0 = 9 - 1 = 8
\]

3. **Now multiply by \(1/2\)**:
\[
\frac{1}{2}(9 - 7^0) = \frac{1}{2} \cdot 8 = 4
\]

4. **Calculate \((-29)^0\)**: Again, any non-zero number raised to the power of zero is also 1.
\[
(-29)^0 = 1
\]

5. **Combine the results of the two parts**:
\[
4 + (-29)^0 = 4 + 1 = 5
\]

Thus, the equivalent expression simplifies to:
\[
\boxed{5}
\]