How do you simplify #\frac { 6a ^ { - 4} b ^ { - 3} } { 9a ^ { 2} b ^ { - 2} }#?
1 Answer
Nov 23, 2016
Explanation:
Using the
#color(blue)"laws of exponents"#
#color(orange)"Reminder " 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)|)))#
#rArr(6a^-4b^-3)/(9a^2b^-2)#
#=6/9xxa^-4/a^2xxb^-3/b^-2#
#=2/3xxa^(-4-2)xxb^(-3-(-2))#
#=2/3xxa^-6xxb^-1#
#=2/3xx1/a^6xx1/b^1=2/(3a^6b)larr" with positive exponents"#
