Question

Rewrite the rational exponent as a radical.


(5*3/4 power)2/3 power

Answer 1

`Use:\\\sqrt[n]{a^m}=a^{(m)/(n)}\\\\(a^n)^m=a^(nm)\\\\\left(5^{(3)/(4)}\right)^{(2)/(3)}=5^{(3)/(4)\cdot(2)/(3)}=5^{(1)/(2)\cdot(1)/(1)}=5^{(1)/(2)}=\sqrt[2]{5}=\boxed{\sqrt5}`