Question

What is the simplified value of the exponential expression 16^1/14

Answer 1

`16=2^4\\\\16^(1)/(14)=(2^4)^(1)/(14)=2^{4\cdot(1)/(14)}=2^(4)/(14)=2^(2)/(7)=\sqrt[7]{2^2}=\sqrt[7]4`

`\text{used:}\\\\(a^n)^m=a^(n\cdot m)\\\\\sqrt[n]{a^m}=a^(m)/(n)`