How do you simplify #\frac { 3\times 10^ { - 6} } { 15\times 10^ { 2} }#?

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Answer 1 · 2017-04-07T22:15:26

#=2. xx 10^-9#

Simplify using a combination of fractions and indices.

#(3xx10^-6)/(15 xx 10^2)#

#=(cancel3xx10^-6)/(cancel15_5 xx color(blue)(10^2))#

#=1/5 xx(10^-6 xx color(blue)(10^-2))#

#=0.2 xx 10^-8" "larr# not scientific notation

#=2. xx 10^-9#

(The decimal point was moved one place to the right so the index decreases by 1.)