Question
Solve the expression 2(1.6^0+7)−4.9^0
.
Show your work.
(1 point)
Responses
15
15
14
14
13
13
16
16
.
Show your work.
(1 point)
Responses
15
15
14
14
13
13
16
16
Answers
GPT-4o mini
To solve the expression \( 2(1.6^0 + 7) - 4.9^0 \), we'll follow the order of operations step by step.
1. **Calculate \( 1.6^0 \)** and \( 4.9^0 \)**:
- Any non-zero number raised to the power of zero is 1.
\[
1.6^0 = 1
\]
\[
4.9^0 = 1
\]
2. **Substitute these values back into the expression**:
\[
2(1 + 7) - 1
\]
3. **Perform the addition inside the parentheses**:
\[
1 + 7 = 8
\]
4. **Now substitute this value back into the expression**:
\[
2(8) - 1
\]
5. **Calculate the multiplication**:
\[
2 \times 8 = 16
\]
6. **Finally, subtract 1**:
\[
16 - 1 = 15
\]
So, the final result is \( 15 \).
Thus, the answer is **15**.
1. **Calculate \( 1.6^0 \)** and \( 4.9^0 \)**:
- Any non-zero number raised to the power of zero is 1.
\[
1.6^0 = 1
\]
\[
4.9^0 = 1
\]
2. **Substitute these values back into the expression**:
\[
2(1 + 7) - 1
\]
3. **Perform the addition inside the parentheses**:
\[
1 + 7 = 8
\]
4. **Now substitute this value back into the expression**:
\[
2(8) - 1
\]
5. **Calculate the multiplication**:
\[
2 \times 8 = 16
\]
6. **Finally, subtract 1**:
\[
16 - 1 = 15
\]
So, the final result is \( 15 \).
Thus, the answer is **15**.