Question

Simplify 4(3x^4y^5)^2/(2x^6y)^3

Answer 1

Math is not about the answer it is about the method

1. Start by simplifying the expressions inside the parentheses:

- (3x^4y^5)^2 = 3^2 * (x^4)^2 * (y^5)^2 = 9x^8y^10

- (2x^6y)^3 = (2^3) * (x^6)^3 * y^3 = 8x^18y^3

2. Substitute these simplified expressions back into the original expression:

- 4 * (9x^8y^10) / (8x^18y^3)

3. Simplify further by combining like terms:

- 36x^8y^10 / (8x^18y^3)

4. Divide the coefficients and apply the rules of exponents:

- 4.5x^(8-18)y^(10-3) = 4.5x^(-10)y^7

Explanation:

Answer 2

`\frac{4 {( {3x}^(4) {y}^(5) )}^(2) }{ {(2 {x}^(6) y})^(3) } = \frac{36 {x}^(8) {y}^(10) }{8 {x}^(18) {y}^(3) } = \frac{9 {y}^(7) }{2 {x}^(10) }`