mass of earth is 5.97x10^24kg.

and mass of moon is 7.35x10^22kg
what is the total mass

You have a significant figure rule working here. you cannot add beyond the 7 in the 5.97E24, so with that rule, combined mass is

5.97+.0735=6.04E24kg

To find the total mass of the Earth and the Moon, we need to add their individual masses together.

Given:
Mass of Earth = 5.97 x 10^24 kg
Mass of Moon = 7.35 x 10^22 kg

To find the total mass, simply add the two masses:

Total Mass = Mass of Earth + Mass of Moon

Total Mass = (5.97 x 10^24 kg) + (7.35 x 10^22 kg)

To add these numbers, we need to make sure they have the same exponent.

Since 7.35 x 10^22 kg is smaller than 5.97 x 10^24 kg, we can shift the decimal point two places to the right in order to match the exponents:

Total Mass = 5.97 x 10^24 kg + 0.0735 x 10^24 kg

Now that the exponents match, we can add the two numbers:

Total Mass = 5.97 x 10^24 kg + 0.0735 x 10^24 kg

Total Mass = 6.0435 x 10^24 kg

Therefore, the total mass of the Earth and the Moon is approximately 6.0435 x 10^24 kg.