How to simplify $(3.9times10^8)(8.4times10^-3)$ in scientific notation?

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Answer 1 · 2016-02-07T15:42:45

$3.276xx10^6$

Given: $" "(3.9xx10^8)(8.4xx10^(-3))$

Write as $" "(3.9xx8.4)xx10^(8-3)$

Which simplifies to: $" "32.76xx10^5$

$color(brown)("But "32.76" is the same value as " 3.276xx10$

So by substitution we have: $""3.276xx10xx10^5$

which is: $" "3.276xx10^6$

How to simplify (3.9times10^8)(8.4times10^-3)(3.9times10^8)(8.4times10^-3) in scientific notation?