The mass of the Earth is 5.97 × 10²´ kg and the mass of the Moon is 7.36 × 10²² kg. To find the combined mass, convert the Moon's mass to the same exponent as the Earth's and add them, yielding a total of approximately 6.0436 × 10²´ kg.
The student seems to be asking for the combined mass of the Earth and the Moon. Using the provided data, the mass of the Earth is 5.97 × 10²´ kg and the mass of the Moon is 7.36 × 10²² kg. To find their combined mass, we add the two values together.
Mass of Earth + Mass of Moon = 5.97 × 10²´ kg + 7.36 × 10²² kg
Since the exponents are different, we can't add them directly. We need to convert them to the same exponent, typically the larger one, which in this case is 10²´.
The mass of the Moon would then be written as 0.0736 × 10²´ kg (since 7.36 × 10²² kg is equivalent to 0.0736 × 10²´ kg).
Now we can add them :
5.97 × 10²´ kg + 0.0736 × 10²´ kg = 6.0436 × 10²´ kg
So, the combined mass of the Earth and Moon is approximately 6.0436 × 10²´ kg.