How do you multiply #(3\times 10^ { - 12} ) ( 2\times 10^ { 10} )#?

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Answer 1 · 2017-05-23T17:17:46

See a solution process below:

First, rewrite this expression as:

#(3 xx 2)(10^-12 xx 10^10) => 6(10^-12 xx 10^10)#

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

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#6(10^color(red)(-12) xx 10^color(blue)(10)) => 6 xx 10^(color(red)(-12) + color(blue)(10)) => 6 xx 10^-2#

Or, converting out of scientific terms:

#0.06#