Answer:
The value of t is 1/5
Explanation:
You can change the form of any radical by fraction power
We replace the radical and put the base with fraction power, the number of radical will be the denominator of the fraction and the power of the base will be the numerator of the fraction.
Ex:
![\sqrt[n]{x^(a) }=x^{(a)/(n)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8n2iimnw5impek55bzol60gyadm51soznx.png)
∵
![\sqrt[5]{3}=3^{(1)/(5) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8zun0f94y97ib2ed4rbm0xpro9zndpylcr.png)
∴
![3^(t)=3^{(1)/(5) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9bbgh5qos8cupm2k8n0d7w485nbkopei4s.png)
∵ Two bases are equal
∴ Their powers are equal
∴ t = 1/5