How do you write #(3.00 * 10 ^-2) * (4.768 * 10 ^6)# in scientific notation?

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Answer 1 · 2017-02-15T14:21:22

#14.304 * 10^4#

Or

#1.4304 * 10^5#

First, we can rewrite this expression as:

#(3.00 * 4.768) * (10^-2 * 10^6) = 14.304(10^-2 * 10^6)#

We can 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))#

#14.304(10^color(red)(-2) * 10^color(blue)(6)) = 14.304 * 10^(color(red)(-2)+color(blue)(6)) = 14.304 * 10^4#

Or

#1.4304 * 10^5#