How do you write #(5.7410^14)(3.5310^9)# in scientific notation?

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Answer 1 · 2018-06-12T09:17:20

#2.02622 * 10^24#

Multiply the numeric part:

#5.74 * 3.53 = 20.2622#

Rewrite the numeric part in scientific notation: we only need one significant digit

#20.2622= 2.02622 * 10#

Multiply the exponential part using the rule #a^b*a^c = a^{b+c}#:

#10^14*10^9=10^{14+9} = 10^23#

Put everything together:

#2.02622 * 10 * 10^23 = 2.02622 * 10^24#

How do you write #(5.74*10^14)(3.53*10^9)# in scientific notation?