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34 votes
34 votes
(1.54×10^-6)×(2.3×10^8)/8.9×10^13

User Gonczor
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1 Answer

14 votes
14 votes

,

1) Let's start by writing those expressions, and operate the factors firstly (1.54, 2.3 and 8.9.

So multiplying 1.5 x 2.3 = 3.45 and then the powers 10^-6 x 10^8


\begin{gathered} 1.5*10^(-6)*(2.3*10^8)/(8.9*10^(13)) \\ (3.45*10^2)/(8.9*10^(13))=3.8764\text{ }*10^(-12) \\ \end{gathered}

Then we proceed by dividing the factors 3.45 ÷ 8.9 =0.3876 and applying the property of the exponents 10² ÷ 10^13 = 10^-11 , adjusting it to one decimal point to the right we have our final answer:

3.876 x 10^-12

User Sammy
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2.9k points