What is the value of n? 9.6x10^9=(2x10^5)(4.8x10^n)

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asked Dec 21, 2023 116k views

5 votes

What is the value of n? 9.6x10^9=(2x10^5)(4.8x10^n)

Mathematics
high-school

Dario Ielardi asked

by Dario Ielardi

3.2k points

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1 Answer

4 votes

$9.6* 10^9~~ = ~~(2* 10^5)(4.8* 10^n)\implies \cfrac{9.6* 10^9}{2* 10^5}~~ = ~~4.8* 10^n \\\\\\ \cfrac{9.6}{2}* \cfrac{10^9}{10^5}~~ = ~~4.8* 10^n\implies 4.8* 10^(9-5)~~ = ~~4.8* 10^n \\\\\\ 4.8* 10^4~~ = ~~4.8* 10^n\implies \cfrac{4.8* 10^4}{4.8}=10^n\implies \cfrac{4.8}{4.8}* 10^4=10^n \\\\\\ 1* 10^4=10^n\implies 10^4=10^n\implies 4 = n$