How do you simplify the expression #(-12x^-3y^3)/(3x^-5y^5)#?

1 Answer
Oct 25, 2016

Answer:

#-(4x^2)/(y^2)#

Explanation:

Using the #color(blue)"laws of exponents"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^-mhArr1/a^m)color(white)(2/2)|)))#

#rArr(-12x^-3y^3)/(3x^-5y^5)=(-12)/3xxx^-3/x^-5xxy^3/y^5#

#=-4xxx^(-3-(-5) xx 1/y^(5-3)#

#=-4xx x^2 xx1/y^2#

#=-(4x^2)/y^2#