Question

How do you write `root4(16^3)` as a fractional exponent?

Answer 1

`root(4)(16^3)=8`

Explanation:

As `root(n)a=a^(1/n)` and `(a^m)^(1/n)=a^((mxx1/n))=a^(m/n)`

`root(4)(16^3)=(16^3)^(1/4)=((2^4)^3)^(1/4)=2^((4xx3)/4)`

= `2^(12/4)=2^3=8`