Question

Please help me with this one

Answer 1

`48 {x}^(8) y^(6)`

Explanation:

`1. \: 6 {x}^(2) y {}^(3) * 2 {}^(3)( {x}^(2)) {}^(3) y {}^(3) \\ 2. \: 6x {}^(2) y {}^(3) * 8( {x}^(2) ) {}^(3) y {}^(3) \\ 3. \: 6x {}^(2) y {}^(3) * 8x {}^(6) y {}^(3) \\ 4. \: (6 * 8)x {}^(2)x {}^(6) y {}^(3) y {}^(3) \\ 5. \: 48 {x}^(2) x {}^(6) y {}^(3) y {}^(3) \\ 6. \: 48x {}^(2 + 6) y {}^(3 + 3) \\ 7. \: 48x {}^(8) y {}^(3 + 3) \\ 8. \: 48x {}^(8) y {}^(6)`

Answer 2

Answer: 48x⁸y⁶

Explanation:

`6x^2y^3(2x^2y)^3=\\6x^2y^32^3(x^2)&^3y^3=\\(6)(8)(x^2)(x^((2)(3))})(y^(3+3))=\\48(x^2)(x^6)y^6=\\48x^(2+6)y^6=\\48x^8y^6`