Question
Solve the expression
2(1.6 to the power of zero + 7)negative 4.9 to the power of zero
2(1.6 to the power of zero + 7)negative 4.9 to the power of zero
Answers
GPT-4o mini
To solve the expression \( 2(1.6^0 + 7) - 4.9^0 \), we will first evaluate the terms inside the parentheses and then perform the operations.
1. **Evaluate \( 1.6^0 \)**:
Any non-zero number raised to the power of zero is 1. Therefore, \( 1.6^0 = 1 \).
2. **Evaluate \( 4.9^0 \)**:
Similarly, \( 4.9^0 = 1 \).
Now substituting these values into the expression:
\[
2(1 + 7) - 1
\]
3. **Simplify the expression inside the parentheses**:
\[
1 + 7 = 8
\]
4. **Multiply by 2**:
\[
2 \times 8 = 16
\]
5. **Subtract 1**:
\[
16 - 1 = 15
\]
Thus, the final result is:
\[
\boxed{15}
\]
1. **Evaluate \( 1.6^0 \)**:
Any non-zero number raised to the power of zero is 1. Therefore, \( 1.6^0 = 1 \).
2. **Evaluate \( 4.9^0 \)**:
Similarly, \( 4.9^0 = 1 \).
Now substituting these values into the expression:
\[
2(1 + 7) - 1
\]
3. **Simplify the expression inside the parentheses**:
\[
1 + 7 = 8
\]
4. **Multiply by 2**:
\[
2 \times 8 = 16
\]
5. **Subtract 1**:
\[
16 - 1 = 15
\]
Thus, the final result is:
\[
\boxed{15}
\]