Mass of grain of sand = 6*10⁻²
Mass of earth = 6*10²⁸
Now we have to find how many times is the mass of grain of sand small than the mass of earth.
In order to find that we have to divide the mass of earth by mass of grain of sand.
So, dividing 6*10²⁸ by 6*10⁻²,
When we divide in exponents , we have this division rule,
xᵃ/ xᵇ = x⁽ᵃ⁻ᵇ⁾
When we divide two expressions with same base, the powers get subtracted.
Applying this rule to our question,
we get 6*10⁽²⁸⁺²⁾
On simplifying, we get
6*10³⁰
Answer: The mass of grain of sand is 6*10³⁰ times smaller than the mass of earth.
