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:

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

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

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