How do you evaluate #(2.4 times 10^4)(4.5 times 10^3)#?

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Answer 1 · 2017-01-02T00:23:30

See explanation below

FIrst step in evaluating this expression is to rearrange the terms:

#2.4 xx 10^4 xx 4.5 xx 10^3 -> 2.4 xx 4.5 xx 10^4 xx 10^3#

We can now multiply the terms. For the terms with exponents we will use the following rule:

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

#10.8 xx 10^(4+3) ->#

#10.8 xx 10^7#

or

#108,000,000.0#