how many times greater is the mass of 1.67x10^-27 then 5.98x10^24.?

Question

its really 1.67x10 to the negitive 27 and 5.98x10 24 power. thanks

Answer 1

Roughly you need to add up the magnitude of both exponents. So you get 27+24 = 51. That means the larger one is 10^51 times larger than the smaller one. The exponent difference is so large the small magnitude numbers don't have much of an impact on the answer. You add up the exponents because the negative one must be increased by 10^27 to get it up to a number near one and then you have the 10^24 to handle after that.