If \(\frac{2.25\cdot10^a}{0.15\cdot10^b}=1.5\cdot10^3,\) then \(a - b =\)
A. 1
B. 2
C. 3
D. 4
E. 5
[spoiler]OA=B[/spoiler]
Source: Princeton Review
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If \(\frac{2.25\cdot10^a}{0.15\cdot10^b}=1.5\cdot10^3,\)
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We haveM7MBA wrote:If \(\frac{2.25\cdot10^a}{0.15\cdot10^b}=1.5\cdot10^3,\) then \(a - b =\)
A. 1
B. 2
C. 3
D. 4
E. 5
[spoiler]OA=B[/spoiler]
Source: Princeton Review
\(\frac{2.25\cdot10^a}{0.15\cdot10^b}=1.5\cdot10^3,\)
\(\frac{225\cdot10^a}{15\cdot10^b}=1.5\cdot10^3,\)
\((15\cdot10^{(a - b)})=1.5\cdot10^3,\)
\((1.5\cdot10\cdot10^{(a - b)})=1.5\cdot10^3,\)
\((10^{(a - b + 1)})=10^3,\)
=> a - b + 1 = 3
a - b = 2
The correct answer: B
Hope this helps!
-Jay
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