Question

Smb help pls and ty lol im tired and ion wann finish this T^T

Answer 1

The radical form of each of the specified expressions are as follows;

`3^{(2)/(5) }\longleftrightarrow \sqrt[5]{3^2}`

`5^{(1)/(2) } \longleftrightarrow √(5)`

`3^{(5)/(2) }\longleftrightarrow √(3^5)`

`5^{(2)/(3) }\longleftrightarrow \sqrt[3]{5^2}`

The radical form of the expressions in index form are found using the following steps;

The radical form of the expression can be obtained by using the values of the specified indices to express the terms using the radical symbols equivalent of the values as follows;

The numerator of the index raises the value to the power of the specified value in the numerator, and the denominator of the index is the root applied to the value raised to the power of the numerator

The number
`3^{(2)/(5) }` is the root 5 of 3 raised to the power 2, therefore;

`3^{(2)/(5) }` is
`\sqrt[5]{3^2}`

The number
`5^{(1)/(2) }` is the square root of 5 raised to the power 1, therefore;

`5^{(1)/(2) }` is √5

The number
`3^{(5)/(2) }` is the square root of 3 raised to the power 5, therefore;

`3^{(5)/(2) }` is
`√(3^5)`

The number
`5^{(2)/(3) }` is the cube root of 5 raised to the power 2, therefore;

`5^{(2)/(3) }` is
`\sqrt[3]{5^2}`