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)(5.74*10^14)(3.53*10^9) in scientific notation?