exponents

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by truplayer256 » Sun Aug 30, 2009 3:25 pm
Let's simplify some things first.

.0015=1.5/1000=3/2000

.03=3/100

3/2000*10^m/[3/100*10^k=5*10^7

3*10^m/2000*100/3*10^k=5*10^7

The 3's cancel and you're left with:

10^m/2000*100/10^k=5*10^7

10^(m-k)/20=5*10^7

10^(m-k-2)=10^7

m-k-2=7

m-k=9

Remember that x^n/x^m=x^(n-m)

Our answer should be A.