Question

Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)

Answer 1

`(4x^3y^5)(3x^5y)^2 = 36*x^(13)y^7`

Explanation:

Given

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

Required

The equivalent expression

We have:

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

Expand

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

Further expand

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

Apply laws of indices

`(4x^3y^5)(3x^5y)^2 = 36*x^(13)y^7`