What is the quotient of the following expression? (5.6 × 102) ÷ (1.4 × 10−6) Show your work. (1 point) Responses 4 × 107 4 × 107 4 × 109 4 × 109 4 × 1010 4 × 1010 4 × 108

Answer 1

To find the quotient of the expression \((5.6 \times 10^2) \div (1.4 \times 10^{-6})\), we can separate the numbers and the powers of ten.

1. First, we divide the coefficients: \[ \frac{5.6}{1.4} = 4 \]

2. Next, we divide the powers of ten: \[ 10^2 \div 10^{-6} = 10^{2 - (-6)} = 10^{2 + 6} = 10^8 \]

3. Now, we combine the results from step 1 and step 2: \[ 4 \times 10^8 \]

Thus, the quotient of the expression \((5.6 \times 10^2) \div (1.4 \times 10^{-6})\) is: \[ 4 \times 10^8 \]

The correct answer is: 4 × 10^8