Question

Please Help ASAP!

Use exponential notation to simplify the given expression. Present your answer using positive integer exponents only.

Answer 1

Annotation:

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

We have

`\sqrt[7]{ \sqrt[9]{x^(8)}}`

First work on the inner root

`\sqrt[7]{ \sqrt[9]{x^(8)}}`
=
`\sqrt[7]{x^{ (8)/(9) }}`

Then work on the outer root
=
`\sqrt[7]{x^{ (8)/(9) }}`
=
`(x^{ (8)/(9) } )^{ (1)/(7)}`
=
`x^{ (8)/(9)* (1)/(7) }`
=
`x^{ (8)/(63)}`