Simplify 5x(3x^(4)y)³ . Give a written explanation of how you simplified

Question

Simplify 5x(3
`x^(4)`y)³ .  Give a written explanation of how you simplified

Answer 1

`5x(3 x^(4) y)^3=5x\cdot 27x^(12)y^3=135x^(13)y^3`

Answer 2

exlanation
remember


`(ab)^c=(a^c)(b^c)`
and

`(x^m)^n=x^(mn)`
and

`(x^m)(x^n)=x^(m+n)`


so


`5x(3x^4y)^3=5x(3^3)((x^4)^3)(y^3)=5x(27)(x^(12))(y^3)=135x^(13)y^3`