How do you write the answer in scientific notation given #(7.2times10^-3)^3#?

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Answer 1 · 2017-03-29T00:56:08

See the entire solution process below:

First, rewrite this expression as:

#(7.2)^3 xx (10^-3)^3#

Next, expand the term on the left:

#(7.2 xx 7.2 xx 7.2) xx (10^-3)^3 ->#

#373.248 xx (10^-3)^3#

Next, use this rule for exponents to expand the 10s term:

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

#373.248 xx (10^color(red)(-3))^color(blue)(3) ->#

#373.248 xx 10^(color(red)(-3) xx color(blue)(3)) ->#

#373.248 xx 10^-9#

Or, moving the decimal place 2 places to the right:

#3.73248 xx 10^-7#