Question

Which of the following represents 3 x to the 5 sevenths power in radical form?
Pleas help me!

Answer 1

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

remember pemdas

`3x^{ (5)/(7)}`
expoennts before multiply, so move 3 to side
3(
`x^{ (5)/(7)}`)
convert
3(
`\sqrt[7]{x^5}`)

`3\sqrt[7]{x^5}`

Answer 2

The answer is 3 seventh root of x to the fifth power.

3 x to the 5 sevenths power is
`3x^{ (5)/(7) }`
Since
`x ^{ (a)/(b) } = \sqrt[b]{ x^(a) }`, then
`x^{ (5)/(7) } = \sqrt[7]{ x^(5) }`

Therefore:

`3x^{ (5)/(7) } =3 \sqrt[7]{ x^(5) }`


`3 \sqrt[7]{ x^(5) }` is 3 seventh root of x to the fifth power.