What is the quotient of the following expression?

Question

(5.6 × 102) ÷ (1.4 × 10−6)


Show your work.

(1 point)
Responses

4 × 1010
4 × 1010

4 × 107
4 × 107

4 × 108
4 × 108

4 × 109

Answer 1

To find the quotient of the expression \((5.6 × 10^2) ÷ (1.4 × 10^{-6})\), we can follow these steps:

1. Separate the coefficients from the powers of 10: \[ \frac{5.6}{1.4} \times \frac{10^2}{10^{-6}} \]

2. Calculate the coefficients: \[ \frac{5.6}{1.4} = 4 \]

3. Calculate the powers of 10: \[ \frac{10^2}{10^{-6}} = 10^{2 - (-6)} = 10^{2 + 6} = 10^8 \]

4. Combine the results: \[ 4 \times 10^8 \]

Thus, the final quotient is \[ \boxed{4 \times 10^8} \]