will we be forced to NOT use the quotient rule for any rogue denominators, aka bring it up to the numerator with a negative exponent.... if so would we multiply it into the numerator for the time being whilst solving ??? thanks G

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If the numerator is a constant and the denominator is a single term involving

x, it'd be quickest to "bring it up" and just use the power rule. The quotient rule will work though...just a bit unnecessary. I won't force you to not use it!