Question

Wich expression represents 5/34 in rational exponent form

Answer 1

Answer: 34^1/5

Explanation:

Answer 2

Option C:

`$\sqrt[5]{34} =34^{(1)/(5) }`

Solution:

Given expression is
`\sqrt[5]{34}`.

To write the given expression in rational exponent form.

Using rational exponent rule:

`$\sqrt[n]{a^m} =a^{(m)/(n) }`

i. e.
`$\sqrt[\text{root}]{a^\text{power}} =a^{\frac{\text{power}}{\text{root}} }`

Given
`\sqrt[5]{34}`

Here, root is 5 and power is 1.

Write it using the rational exponent rule,

`$\sqrt[5]{34} =34^{(1)/(5) }`

Therefore option C is the correct answer.

Hence
`$\sqrt[5]{34} =34^{(1)/(5) }.`