Respuesta :

wegnerkolmp2741o

7 ^ 1/5 ^ 5

power to a power is multiplied

7 ^ (1/5 *5)

7^1

7

Choice A

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]