Question

I dont mind giving out 40 points to who ever answers this correctly

Answer 1

Answer:

27/ (4  x^6 y^8)

Step-by-step explanation:

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

expand

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

power of the power rule , exponents to the power are multiplied

4 (3^3  x^(2*4) y^(4*3) / (2^4 x^(3*4) y^(5*4))

4 (27  x^(8) y^(12) / (16 x^(12) y^(20))

put like terms over each other

4 * (27/16) * x^8/x*16  * y^12/y^20

when dividing exponents , we subtract the powers

27 * 4/16 * x^ (8-14) * y^ (12-20)

27* 1/4 * x^(-6) *  y^ (-8)

27/4  *  x^(-6)(y)^ (-8)

negative terms go to the denominator

27/ (4  x^6 y^8)