Final answer:
The given expression (.819 Mm) / (7.84 kg)^2 is simplified to 1.332 x 10^(-6) m^(-1) kg^(-2), which doesn't match any of the provided options. There might be an error in the question or the options given.
Step-by-step explanation:
The calculation in the question involves dividing a length measured in megameters (Mm) by the square of a mass measured in kilograms (kg). When dealing with SI units, the prefixes represent powers of ten, so we convert megameters to meters to simplify. The conversion is 1 Mm = 106 meters. After conversion, the equation becomes (.819 × 106 m) / (7.84 kg)2.
Calculating the denominator first: (7.84 kg)2 = 61.4656 kg2. Now dividing the numerator by the denominator we get: (.819 × 106 m) / 61.4656 kg2 = 1.33240063 × 104 m kg-2. To put this in scientific notation, we adjust the significant figures based on the given options and convert it to the SI form for the units of m-1 kg-2.
The correct SI form of the answer is:
1.332 × 10-6 m-1 kg-2, however, this option is not provided in the choices. Since this is a multiplication and division problem, if any of the options do not correctly correspond, there might be a mistake in the question or the options provided.