Question

Complete the table to show each expression using a rational exponent

Answer 1

Using a rational exponent expression, the complete table is;

Expression Expression with Rational Exponent

`\sqrt[7]{6}^3`
`6^(3/7)`

`\sqrt 11`
`11^{1/2`

`\sqrt[3]{4}^9`
`4^{9/3`

How to complete the table

To complete the table to show each expression using a rational exponent.

`\sqrt[7]{6}^3`

This can be expressed as a rational exponent thus

`6^(3/7)`

For
`\sqrt11`

This can be expressed in rational exponent as

`11^{1/2`

For
`\sqrt[3]{4}^9` It can be expressed as

`4^{9/3`

Therefore, the complete table is;

Expression Expression with Rational Exponent

`\sqrt[7]{6}^3`
`6^(3/7)`

`\sqrt 11`
`11^{1/2`

`\sqrt[3]{4}^9`
`4^{9/3`