How do you simplify #(3(x²y³)²)/((3xy³)³)#?

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Answer 1 · 2017-10-10T23:19:23

#x/(9y^3)#

Expand using definition of exponents:

#(3(x^2y^3)(x^2y^3))/((3xy^3)(3xy^3)(3xy^3))#

Rearrange the multiplication using the commutative property:

#(3x^2x^2y^3y^3)/(3*3*3x*x*xy^3y^3y^3)#

Use product property of exponents and multiply the constants:

#(3x^4y^6)/(27x^3y^9)#

Use quotient property of exponents and divide the constants:

#x/(9y^3)#