How do you simplify #(6.12 x 10^4) / (3x10^2)#?

Question

2150 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-17T02:05:09

See a solution process below:

First, rewrite the expression as:

#6.12/3 xx 10^4/10^2 =>#

#2.04 xx 10^4/10^2#

Now, use this rule for exponents to simplify the 10s terms:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#2.04 xx 10^color(red)(4)/10^color(blue)(2) =>#

#2.04 xx 10^(color(red)(4)-color(blue)(2)) =>#

#2.04 xx 10^2#

Or, in standard notation:

#2.04 xx 100 =>#

#204#