Here's the question you clicked on:
haileemackk
Simplify: a^7 b^8 /a^4b^4 Would the answer be a11/b12? For some reason, I had the idea that you were always supposed to add the exponents. But since this is division would you subtract the exponents instead?
\[\frac{x^a}{x^b}=x^{a-b}\]
Reason: \[x^a \cdot x^b = x^{a+b}\]\[\frac{1}{x^b} = x^{-b}\] So, \[\frac{x^a}{x^b} = x^a \frac{1}{x^b} = x^{a} \cdot x^{-b}=x^{a+(-b)}=x^{a-b}\]
For the answers to your questions, it is not a^11 / b^12. When it is division, you will do subtraction for the power of the same base.
Thanks for explaining it - I was trying to write it all down! :)
if it's a fraction you just deduct the exponent of the numerator to the exponent of the denominator..