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anonymous
 3 years 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?
anonymous
 3 years 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?

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Callisto
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{x^a}{x^b}=x^{ab}\]

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

Callisto
 3 years ago
Best ResponseYou've already chosen the best response.2For 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks for explaining it  I was trying to write it all down! :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0if it's a fraction you just deduct the exponent of the numerator to the exponent of the denominator..
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