Question #0bf56

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Answer 1 · 2017-06-07T04:37:01

See explanation below.

You need to get $Q_2$ by itself.
First, write 280,000 in scientific notation:

$2.8*10^5=1.12*10^8*(1*10^-4*Q_2)/(0.01^2)$

Rewrite $0.0001$ as $1*10^-4$ then cancel out the like terms:

$2.8*10^5=1.12*10^8*(1*10^-4*Q_2)/(1*10^-4)$

$2.8*10^5=1.12*10^8*Q_2$

Divide both sides by $1.12*10^8$

$(2.8*10^5)/(1.12*10^8)=Q_2$

Break up the left hand side and apply this index law:

$(a*10^x)/(b*10^y)=(a/b)*10^(x-y)$

$Q_2=(2.8/1.12)*(10^5/10^8)=(2.5)*10^(5-8)$

$Q_2=2.5*10^-3$