How do you simplify #( (7d^-6) (-4d^-2))/(2d^-4 )#?

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Answer 1 · 2016-04-05T19:40:09

#-14/d^4#

#color(blue)("Consider each part")#

#7d^(-6) -> 7/d^6#

#-4d^(-2) -> -4/d^2#

#2d^(-4) -> 2/d^4" so " 1/(2d^(-4)) = d^4/2#

#color(blue)("Putting it all together")#

#7/d^6 xx (-4/d^2)xx d^4/2#

#-(28d^4)/(2d^8)#

#-14/d^4#