Divide the following and express your answer in appropriate scientific notation: \[ \left(2.912 \times 10^{-1}\right) \div\left(3.2 \times 10^{-3}\right) \] quotient \( =\square \)

To divide the two numbers in scientific notation, you need to divide the coefficients and subtract the exponents. First, divide the coefficients: \[ 2.912 \div 3.2 \approx 0.910 \] Next, subtract the exponents: \[ -1 - (-3) = -1 + 3 = 2 \] So, combining these gives you: \[ 0.910 \times 10^{2} \] Now, to express this in proper scientific notation, we need to adjust \(0.910\) to \(9.10\): \[ 9.10 \times 10^{1} \times 10^{2} = 9.10 \times 10^{3} \] Thus, the quotient is: \[ 9.10 \times 10^{3} \]