Which of the following is the radical expression of a to the five sevenths power ? fifth root of a to the seventh power seventh root of a to the fifth power 5a7 7a5

Respuesta :

a^5/7

We can convert this to a radical expression by keeping in mind:

x m/n

n root x^m

Thus, a^5/7 = 7√a^5

The equivalent radical expression is:

[tex]a^{\frac{5}{7}} = \sqrt[7]{a^5}[/tex]

To convert an expression from exponent to radical, we apply the following formula:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

In this problem, a to the five sevenths power is represented by:

[tex]a^{\frac{5}{7}}[/tex]

Thus, [tex]n = 5, m = 7[/tex], and the equivalent expression is:

[tex]a^{\frac{5}{7}} = \sqrt[7]{a^5}[/tex]

A similar problem is given at https://brainly.com/question/13094243