How do you simplify #-\frac{24x}{5}\times -\frac{15}{8x^{3}}#?

1 Answer
Jim G.
Nov 12, 2016

#9/x^2#

Explanation:

Since we are multiplying 2 fractions we can cancel#color(blue)" common factors"# between the numerators and denominators.

Remember also that a 'negative' times a 'negative' gives a ' positive' result.

#rArr-(24x)/5xx-15/(8x^3)#

#=(cancelcolor(blue)(24)^3cancelcolor(red)(x)^1)/cancelcolor(magenta)(5)^1xxcancelcolor(magenta)(15)^3/(cancelcolor(blue)(8)^1cancelcolor(red)(x^3)^2)#

#=(3xx1xx3)/(1xx1xxx^2)=9/x^2#

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