How do you multiply #(2.4 * 10^-5)(4 * 10^-4)#?

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Answer 1 · 2018-03-14T22:26:11

See a solution process below:

First, rewrite this expression as:

#(2.4 * 4) * (10^-5 * 10^-4) =>#

#9.6 * (10^-5 * 10^-4)#

Now, use this rule of exponents to multiply the 10s terms:

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#9.6 * (10^color(red)(-5) * 10^color(blue)(-4)) =>#

#9.6 * 10^(color(red)(-5) + color(blue)(-4)) =>#

#9.6 * 10^-9#