Question

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

Answer 1

To simplify the expression \( \frac{1}{2(9 - 7^0) + (-29)^0} \), we can evaluate each part step by step.

1. Evaluate \( 7^0 \) and \( (-29)^0 \):
- Any non-zero number raised to the power of 0 equals 1, so:
\[
7^0 = 1
\]
\[
(-29)^0 = 1
\]

2. Substitute these values into the expression:
- The expression now becomes:
\[
\frac{1}{2(9 - 1) + 1}
\]

3. Simplify \( 9 - 1 \):
\[
9 - 1 = 8
\]

4. Substitute this back into the expression:
\[
\frac{1}{2(8) + 1}
\]

5. Calculate \( 2(8) \):
\[
2(8) = 16
\]

6. Add 1 to the result:
\[
16 + 1 = 17
\]

7. Substitute this back into the expression:
\[
\frac{1}{17}
\]

So, the equivalent expression is:
\[
\frac{1}{17}
\]