Moaktree
Hi guys, during a practice question i ran into the following :
10\sqrt{-4} / 10\sqrt{-7}
Would partly cancel to yield 1 / 10\sqrt{-3}
I cant quite wrap my head around this, is it possible in a calc like this to just turn it around and put a 1 on top of it ? Hope someone can help me out, thanks a lot
Posted from my mobile deviceWhat you have written is \(10\sqrt{-4} / 10\sqrt{-7}\), which is wrong as per GMAT, there are no negative roots.
I believe what you meant was \(\frac{10^{-4}}{10^{-7}}\)..
Here you can take the powers up and down by changing the signs..
\(\frac{10^{-4}}{10^{-7}}\)=\(\frac{1}{10^{4}*10^{-7}}=\frac{1}{10^{4-7}}\), basically you are multiplying both numerator denominator by \(10^4\)
\(\frac{10^{-4}}{10^{-7}}\)=\(10^{-4}*10^{7}=10^{7-4}=10^3\), basically you are multiplying both numerator denominator by \(10^7\)