Mass of earth is ( 5 . 97 × 10 24 ) kg and mass of moon is ( 7 . 35 × 10 22 ) kg. What is the total mass of the two?

Given, Mass of the earth = ( 5 . 97 × 10 24 ) kg Mass of the moon = ( 7 . 35 × 10 22 ) kg Let us convert the mass of the earth in usual form, we get, Mass of the earth = 597 100 × 10 24 = 597 × 10 24 10 2 Using the law of exponents, x m ÷ x n = x m - n Mass of the earth = 597 × 10 22 kg Total mass of the two = ( 597 × 10 22 ) + ( 7 . 35 × 10 22 ) = ( 597 + 7 . 35 ) × 10 22 = 604 . 35 × 10 22 kg Convert the total mass into standard form, we get, A number written as m × 10 n is said to be in standard form if m is a decimal number such that 1 ≤ m < 10 and n is either a positive or negative integer. To express the given number, 604 . 35 × 10 22 kg in standard form, move the decimal point 2 places to the left to get a number, 6 . 0435 that is in the range from 1 to 9 and here the exponent is positive, that is 2 Total mass of the two = 6 . 0435 × 100 × 10 22 = 6 . 0435 × 10 2 × 10 22 Using the law of exponents, x m × x n = x m + n Hence, the total mass of the two is 6 . 0435 × 10 24 kg