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

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Answer 1 · 2016-01-08T10:28:58

#9.375 xx 10^2#

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)#