Question

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

Answer 1

Answer: Hence, our simplified form will be :

`(64)/(75)x^8y^(-3)`

Explanation:

Since we have given that

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

We need to simplify the above expression:

`((4x^4y^3)^3)/(3(5x^2y^6)^2)\\\\=(4^3x^(4* 3)y^(3* 3))/(3* 5^2x^(2* 2)y^(6* 2))\\\\=(64x^(12)y^9)/(3* 25x^4y^(12))\\\\=(64x^(12)y^9)/(75x^4y^(12))\\\\=(64)/(75)x^(12-4)y^(9-12)\\\\=(64)/(75)x^8y^(-3)`

Hence, our simplified form will be :

`(64)/(75)x^8y^(-3)`