Question

Enter the value of n =
Enter the value of m =
Enter the value of x =

Answer 1

n=5

m=9

x=512

Explanation:

I believe that guy is right.^

Answer 2

Hello!

`\large\boxed{\text{n = 5, m = 9, x = 512}}`

An exponential expression in form
`\sqrt[z]{x^(y) }` can be rewritten as
`x^{(y)/(z) }` where "z" is the root and "y" is the power. For example:

`x^{(2)/(3) } = \sqrt[3]{x^(2) }`.

We can apply this idea to this problem:

`(32)^{(9)/(5) } = (\sqrt[5]{32^(9) } )`

Therefore:

n = 5

m = 9

Simplify the expression:

`\sqrt[5]{32^(9) } = (\sqrt[5]{32} )^(9)`

`\sqrt[5]{32} = 2\\\\2^(9) = 512`

Therefore, the values of all letters are:

n = 5

m = 9

x = 512