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

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Answer 1 · 2018-03-31T11:40:09

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

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#