How do you simplify #\frac { 4u ^ { 3} } { 40u ^ { 5} }#?

1 Answer
Jul 31, 2017

#1/(10u^2)#

Explanation:

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

#•color(white)(x)a^m/a^n=a^(m-n)" or " 1/a^(n-m)#

#rArr(4u^3)/(40u^5)#

#=4/40xxu^3/u^5#

#=cancel(4)^1/cancel(40)^(10)xx1/u^((5-3))#

#=(1xx1)/(10xxu^2)=1/(10u^2)larrcolor(red)" with positive exponents"#