(10.7*10^-2)/(0.0535*10^3)

Answer 1

To solve the expression \((10.7 \times 10^{-2})/(0.0535 \times 10^{3})\), we can simplify it step by step.

1. Rewrite the expression: \[ \frac{10.7 \times 10^{-2}}{0.0535 \times 10^3} \]

2. Separate the coefficients and the powers of ten: \[ \frac{10.7}{0.0535} \times \frac{10^{-2}}{10^{3}} = \frac{10.7}{0.0535} \times 10^{-2 - 3} = \frac{10.7}{0.0535} \times 10^{-5} \]

3. Calculate the coefficient: \[ \frac{10.7}{0.0535} \approx 199.063 \]

4. Combine this with the power of ten: \[ 199.063 \times 10^{-5} \]

5. Finally, you can express this in scientific notation: \[ 1.99063 \times 10^{-3} \]

Hence, the final answer is approximately: \[ 1.99 \times 10^{-3} \]