Question

How to solve (9×10^9)(1.6×10^-19)(-1.6×10^-19)÷(8×10^-14)^2 in the easiest way briefly?

Answer 1

just square the dinominator but only to the 10^-14 and keep 8^2 as it is. now denominator will be 8^2 *(10^-28) which gets cancelled with numerator.now multiply 1.6x-1.6 =-2.56. now multiply this number with 10^2 (this 10^2 is taken from 10^9).hence final answer will be 9*10^7*-256/8^2.so now square 8 (8^2=64).and divide -256 by 64.so final answer will be 9*10^7*4=36*10^7.
hope this helps