How do you evaluate #\frac { 4m ^ { 9} + 36m ^ { 5} - 12m ^ { 2} } { - 4m ^ { 4} }#?
1 Answer
Jan 1, 2017
Explanation:
divide each of the terms on the numerator by
#-4m^4#
#rArr(4m^9)/(-4m^4)+(36m^5)/(-4m^4)-(12m^2)/(-4m^4)# Using the
#color(blue)"laws of exponents"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(a^m/a^n=a^(m-n)" and " a^-mhArr1/a^m)color(white)(2/2)|)))#
#=4/(-4)xxm^(9-4)+36/(-4)xxm^(5-4)-(12)/(-4)xxm^(2-4)#
#=-m^5-9m+3m^-2#
#=-m^5-9m+3/m^2#
