How to simplify #(1.5times10^-3) divide (1.6times10^-6)# in scientific notation?

1 Answer
Jan 8, 2016

Answer:

#9.375 xx 10^2#

Explanation:

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

Now solve #1.5/1.6=15/16=(15xx25)/(16xx25)=375/400=0.9375#

Now Answer is #0.9375 xx 10^3 = (9.375xx10^-1)xx10^3#

Hence Ans. is #9.375xx10^2#

Properties used:

#x^a/x^b=x^(a-b)#

#x^a xx x^b=x^(a+b)#