What is #-10^2a^10b^-2 -: (-5) a^3c ^-3#?

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Answer 1 · 2015-12-02T03:44:47

#=color(blue)(20 a^color(blue)(7) b^-2c^3#

#(-10^2 a^10 b^-2)/ ((-5) a^3c^-3)#

#=(color(blue)(cancel(-100) )*a^10 b^-2)/ ((color(blue)(cancel(-5)) *a^3c^-3)#

#=(20 *a^10 b^-2)/(a^3c^-3)#

As per below mentioned properties:

#color(blue)(a^m/(a^n)=a^(m-n)#

#color(green)(1/a^-m = a^m#

Applying the above mentioned properties to the expression

#(-20 *a^10 b^-2)/(a^3c^-3)=-20 *a^color(blue)((10-3)) b^-2c^3#

#=color(blue)(-20 a^color(blue)(7) b^-2c^3#