How do you divide # (5x^2)/(3) div(10x)/(2)#?

1 Answer
Mar 31, 2018

Answer:

#(5x^2)/3-:(10x)/2=color(blue)(x/3#

Explanation:

Given:

#(5x^2)/3-:(10x)/2#

When dividing by a fraction, invert the fraction and multiply.

#(5x^2)/3xx2/(10x)=#

#(5x^2xx2)/(3xx10x)=#

#(10x^2)/(30x)#

Simplify.

#(color(red)cancel(color(black)(10))^1x^2)/(color(red)cancel(color(black)(30))^3x)#

#(1x^2)/(3x)#

Apply quotient exponent rule: #(a^m)/(a^n)=a^(m-n)#

#(1x^(2-1))/3#

Simplify.

#x/3#