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: \[ \boxed{8471.7} \]