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)
