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

1 Answer
Oct 10, 2017

x/(9y^3)

Explanation:

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)