How do you simplify $(6.25times10^-4)/(1.25times10^2)$ ?

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Answer 1 · 2017-05-21T11:36:14

See a solution process below:

First, rewrite the expression as:

$(6.25/1.25) xx (10^-4/10^2) => 5 xx (10^-4/10^2)$

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

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

$5 xx 10^color(red)(-4)/10^color(blue)(2) => 5 xx 10^(color(red)(-4)-color(blue)(2)) => 5 xx 10^-6$

How do you simplify (6.25times10^-4)/(1.25times10^2)(6.25times10^-4)/(1.25times10^2)?