How do you simplify #(9.5times10^-3)/(6.1times10)#?

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Answer 1 · 2017-07-21T20:07:52

See a solution process below:

First, rewrite the expression as:

#(9.5/6.1) xx (10^-3/10) => 1.557 xx (10^-3/10)#

Now, use these rules of exponents to simplify the 10 terms:

#a = a^color(blue)(1)# and #x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#1.557 xx (10^-3/10) => 1.557 xx (10^color(red)(-3)/10^color(blue)(1)) =>#

#1.557 xx 10^(color(red)(-3) - color(blue)(1)) =>#

#1.557 xx 10^-4# rounded to the nearest thousandth.