Question

8x10 power of 3 + 4x10 power of 2 + 7x10 powere of 1 1x10 powere of 0 + 7x1/10 powere of 1

Answer 1

To simplify the expression, let’s break it down step by step:

1. **Separate each term**:
- \(8 \times 10^3\)
- \(4 \times 10^2\)
- \(7 \times 10^1\)
- \(1 \times 10^0\)
- \(7 \times 10^{-1}\) (equivalent to \(7 \times \frac{1}{10}\))

2. **Calculate each power of ten**:
- \(10^3 = 1000\)
- \(10^2 = 100\)
- \(10^1 = 10\)
- \(10^0 = 1\)
- \(10^{-1} = 0.1\)

3. **Multiply each term**:
- \(8 \times 1000 = 8000\)
- \(4 \times 100 = 400\)
- \(7 \times 10 = 70\)
- \(1 \times 1 = 1\)
- \(7 \times 0.1 = 0.7\)

4. **Combine all the results**:
\[
8000 + 400 + 70 + 1 + 0.7
\]

5. **Add them together**:
\[
8000 + 400 = 8400
\]
\[
8400 + 70 = 8470
\]
\[
8470 + 1 = 8471
\]
\[
8471 + 0.7 = 8471.7
\]

The final result of your expression is:
\[
\boxed{8471.7}
\]