How do you simplify #\frac { ( 8\times 10^ { 6} ) } { ( 4\times 10^ { 3} ) }#?

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Answer 1 · 2017-09-28T17:15:13

See a solution process below:

First, rewrite the expression as:

#(8 xx 10^6)/(4 xx 10^3) => 8/4 xx 10^6/10^3 => 2 xx 10^6/10^3#

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))#

#2 xx 10^color(red)(6)/10^color(blue)(3) => 2 xx 10^(color(red)(6)-color(blue)(3)) => 2 xx 10^3#

Or, in standard terms:

#2,000#