Question

Solve the expression 16−8^0/5+4(7^0−6)
. Evaluate completely. Your final answer should be written as a standard number (not in exponential form).

Answer 1

To solve the expression \( 16 - 8^0 / 5 + 4(7^0 - 6) \), we will evaluate each part step-by-step according to the order of operations.

1. **Evaluate \( 8^0 \):**
\[
8^0 = 1
\]

2. **Evaluate \( 7^0 \):**
\[
7^0 = 1
\]

3. **Substitute \( 8^0 \) and \( 7^0 \) into the expression:**
The expression now becomes:
\[
16 - \frac{1}{5} + 4(1 - 6)
\]

4. **Calculate \( 1 - 6 \):**
\[
1 - 6 = -5
\]

5. **Multiply by 4:**
\[
4 \times -5 = -20
\]

6. **Now substitute this back into the expression:**
\[
16 - \frac{1}{5} - 20
\]

7. **Combine \( 16 - 20 \):**
\[
16 - 20 = -4
\]

8. **So now we have:**
\[
-4 - \frac{1}{5}
\]

9. **Convert \(-4\) to a fraction so we can combine it with \(-\frac{1}{5}\):**
\[
-4 = -\frac{20}{5}
\]

10. **Now combine the fractions:**
\[
-\frac{20}{5} - \frac{1}{5} = -\frac{21}{5}
\]

Thus, the final answer in standard number form is:
\[
\boxed{-\frac{21}{5}}
\]