How do you simplify $(6.12 times 10^4) / (3times10^2)$ ?

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Answer 1 · 2015-10-31T04:51:13

$(6.12 times 10^4) / (3times10^2) = color(green)(204$

In exponents, $color(blue)(a^m*a^n = a^(m+n)$

Hence $10^4$ can be written as $10^2 times 10^2$

$(6.12 times 10^4) / (3times10^2) = (6.12 times 10^2 times cancel(10^2)) / (3timescancel(10^2))$

$= (6.12 times 100)/3$

$= 612/3$

$= color(green)(204$

How do you simplify (6.12 times 10^4) / (3times10^2)(6.12 times 10^4) / (3times10^2)?