How do you evaluate (7.08times10^14)(5times10^-9)(7.08×1014)(5×10−9)?

1 Answer
smendyka
Apr 1, 2017

See the entire solution process below:

Explanation:

First, rewrite this expression as:

(7.08 xx 5)(10^14 xx 10^-9) ->(7.08×5)(1014×10−9)→

35.4(10^14 xx 10^-9)35.4(1014×10−9)

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))xa×xb=xa+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 10^535.4(1014×10−9)→35.4×1014+−9→35.4×105

Or

3.54 xx 10^63.54×106

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