What is #(9.75 * 10^3) * (8.4 * 10^-6)#?

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Answer 1 · 2015-10-31T16:23:06

#8.19*10^-2#

#(9.75 * 10^3)*(8.4 * 10^-6)#

First, let's regroup the factors,

#=> (9.75 * 8.4)(10^3*10^-6)#

We can now proceed with multiplication

#=> (81.9)*(10^-3)#

Now let's transform this to scientific notation.

#=> (8.19 * 10)(10^-3)#

#=> 8.19*(10*10^-3)#

#=> 8.19*(10^1*10^-3)#

#=> 8.19*(10^-2)#