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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?
 one year ago
 one year ago
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?
 one year ago
 one year ago

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CallistoBest ResponseYou've already chosen the best response.2
\[\frac{x^a}{x^b}=x^{ab}\]
 one year ago

CallistoBest ResponseYou've already chosen the best response.2
Reason: \[x^a \cdot x^b = x^{a+b}\]\[\frac{1}{x^b} = x^{b}\] So, \[\frac{x^a}{x^b} = x^a \frac{1}{x^b} = x^{a} \cdot x^{b}=x^{a+(b)}=x^{ab}\]
 one year ago

CallistoBest ResponseYou've already chosen the best response.2
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.
 one year ago

haileemackkBest ResponseYou've already chosen the best response.0
Thanks for explaining it  I was trying to write it all down! :)
 one year ago

jedai17Best ResponseYou've already chosen the best response.0
if it's a fraction you just deduct the exponent of the numerator to the exponent of the denominator..
 one year ago
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