Question

a grain of sand has a mass of approxlmently 6 x 10^-2 grams. earth has a mass of approximately 6 x 10^28 grams. hiw many times smaller of the grain of sand than the mas of earth

Answer 1

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.

Answer 2

6*10^28 

Im 99.99% sure this is right