Question

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

Answer 1

`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`