Question
2.8x10^9 x 9.3x10^7. Show your work and Do it a way that I can copy and paste it
Answers
GPT-4o mini
To multiply the numbers \(2.8 \times 10^9\) and \(9.3 \times 10^7\), we can follow these steps:
1. **Multiply the coefficients (the numbers in front):**
\[
2.8 \times 9.3
\]
2. **Multiply the powers of ten:**
\[
10^9 \times 10^7
\]
3. **Combine the results from steps 1 and 2.**
### Step by Step Calculation:
1. **Multiply the coefficients:**
\[
2.8 \times 9.3 = 26.04
\]
2. **Multiply the powers of ten:**
\[
10^9 \times 10^7 = 10^{(9+7)} = 10^{16}
\]
3. **Combine the results:**
\[
26.04 \times 10^{16}
\]
### Final Answer:
To express the answer in proper scientific notation, we should adjust the coefficient \(26.04\):
\[
26.04 = 2.604 \times 10^1
\]
Now, adding the exponents:
\[
2.604 \times 10^1 \times 10^{16} = 2.604 \times 10^{(1 + 16)} = 2.604 \times 10^{17}
\]
So, the final result of \(2.8 \times 10^9 \times 9.3 \times 10^7\) is:
\[
\boxed{2.604 \times 10^{17}}
\]
1. **Multiply the coefficients (the numbers in front):**
\[
2.8 \times 9.3
\]
2. **Multiply the powers of ten:**
\[
10^9 \times 10^7
\]
3. **Combine the results from steps 1 and 2.**
### Step by Step Calculation:
1. **Multiply the coefficients:**
\[
2.8 \times 9.3 = 26.04
\]
2. **Multiply the powers of ten:**
\[
10^9 \times 10^7 = 10^{(9+7)} = 10^{16}
\]
3. **Combine the results:**
\[
26.04 \times 10^{16}
\]
### Final Answer:
To express the answer in proper scientific notation, we should adjust the coefficient \(26.04\):
\[
26.04 = 2.604 \times 10^1
\]
Now, adding the exponents:
\[
2.604 \times 10^1 \times 10^{16} = 2.604 \times 10^{(1 + 16)} = 2.604 \times 10^{17}
\]
So, the final result of \(2.8 \times 10^9 \times 9.3 \times 10^7\) is:
\[
\boxed{2.604 \times 10^{17}}
\]