Simplify ((3x^2)^2y^4)/(3y^2)

Problem

((3*x2)2*y4)/(3*y2)

Solution

1. Apply the power of a product rule to the term (3*x2)2 by squaring both the coefficient and the variable.

(9*x4*y4)/(3*y2)

2. Divide the coefficients by simplifying the fraction 9/3

(3*x4*y4)/(y2)

3. Apply the quotient rule for exponents to the y terms by subtracting the exponent in the denominator from the exponent in the numerator.

3*x4*y(4−2)

4. Simplify the exponent to reach the final expression.

3*x4*y2

Final Answer

((3*x2)2*y4)/(3*y2)=3*x4*y2

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