Question

Simplify `(125d^15)^(3/4)` ?

Answer 1

`5^2d^11root(4)(5d)=25d^11root(4)(5d)`

Explanation:

Remember that `a^(b/c)=root(c)(a^b)`

`(125d^15)^(3/4)=(5^3d^15)^(3/4)`
`root(4)((5^3d^15)^3)=root(4)(5^9d^45)=root(4)(5^8*5*d^44*d)=5^2d^11root(4)(5d)`