How do you evaluate #(2\times 10^{5})\times (4.3\times 10^{9})#?

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Answer 1 · 2017-11-10T12:47:46

See a solution process below:

First, rewrite the expression as:

#(2 xx 4.3) xx (10^5 xx 10^9) =>#

#8.6 xx (10^5 xx 10^9)#

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

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

#8.6 xx (10^color(red)(5) xx 10^color(blue)(9)) =>#

#8.6 xx 10^(color(red)(5)+color(blue)(9)) =>#

#8.6 xx 10^14#