Answer:
7
Step-by-step explanation:
[tex](7^\frac{1}{5})^5[/tex]
Apply exponential property to simplify the exponent
[tex](a^m)^n = a^{mn}[/tex]
Multiply the outside exponents
In the given expression the outside exponent are 1/5 and 5
[tex]\frac{1}{5} \cdot 5= 1[/tex]
[tex](7^\frac{1}{5})^5[/tex]
[tex]7^1=7[/tex]
