How to simplify (1.5times10^-3) divide (1.6times10^-6)(1.5×103)÷(1.6×106) in scientific notation?

1 Answer
Jan 8, 2016

9.375 xx 10^29.375×102

Explanation:

To solve this easily, first solve 10^-3/10^-6103106. This is equal to 10^(-3+6)=10^3103+6=103. Now keep this aside.

Now solve 1.5/1.6=15/16=(15xx25)/(16xx25)=375/400=0.93751.51.6=1516=15×2516×25=375400=0.9375

Now Answer is 0.9375 xx 10^3 = (9.375xx10^-1)xx10^30.9375×103=(9.375×101)×103

Hence Ans. is 9.375xx10^29.375×102

Properties used:

x^a/x^b=x^(a-b)xaxb=xab

x^a xx x^b=x^(a+b)xa×xb=xa+b