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

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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:

$2.04 xx 100 =>$

$204$

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