How do you evaluate #(7.08times10^14)(5times10^-9)#?

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Answer 1 · 2017-04-01T19:35:16

See the entire solution process below:

First, rewrite this expression as:

#(7.08 xx 5)(10^14 xx 10^-9) ->#

#35.4(10^14 xx 10^-9)#

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

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

#35.4(10^color(red)(14) xx 10^color(blue)(-9)) -> 35.4 xx 10^(color(red)(14) + color(blue)(-9)) -> 35.4 xx 10^5#

Or

#3.54 xx 10^6#