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

1 Answer
Apr 3, 2018

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)