How do you divide #\frac { 12} { x ^ { 4} } \div ( \frac { x ^ { 3} } { 3} ) ^ { - 1}#?

1 Answer
Alan P.
Dec 7, 2016

#color(green)(36/(x^7))#

Explanation:

Note that the general case is:
#color(white)("XXX")adivb^(-1)=axx1/b#
therfore
#color(white)("XXXXXX")12/(x^4)div(x^3/3)^-1#

#color(white)("XXXXXX")=12/(x^4)xx(3/(x^3))#

#color(white)("XXXXXX")=(12xx3)/(x^4xxx^3)#

#color(white)("XXXXXX")=36/(x^7)#

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