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- #1

- Feb 5, 2012

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**MDS1005's question from Math Help Forum,**

Hi MDS1005,I'll keep this short. My understanding is dividing an exponent works as follows:

x^2/x^-5=x^7

The exponent rules state that you subtract the exponent in the denominator from the exponent in the numerator if they have the same base. 2 - (-5) = 7

Now, my question. Maybe I'm wrong, or maybe the answer I am looking at is wrong. I need to know which.

5x^2/10x^-5

My answer: 1/2x^7

Answer I was given: .5/x^5

The same source which provided this answer confirms my first idea of x^2/x^-5 = x^7. What changes when 5/10 is added onto the whole deal?

I hope you meant, that your answer is, \(\dfrac{1}{2}x^7\). If that is the case, your answer is correct and the given answer is wrong.

\[\frac{5x^{2}}{10x^{-5}}=\frac{1}{2}x^{2-(-5)}=\frac{1}{2}x^7\]

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