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How do you simplify #(4.5times10^4)(3times10^8)# in scientific notation?

1 Answer

Dec 2, 2015

#1.35*10^13#

Explanation:

Multiply the numeric part: #4.5*3 = 13.5#
Multiply the powers of ten: #10^4*10^8 = 10^12#

So, the result is #13.5 * 10^12#. To convert it to scientific notation, observe that

#13.5=1.35 * 10#

and thus the result becomes

#13.5 * 10^12 = 1.35 * 10 * 10^12 = 1.35*10^13#

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