Question

Match each expression with an equivalent radical form. One of the radical form

options will not have a match.


3 7/2
7 1/2
3 2/7
7 2/3
1. √7
2. √37
3. √3²
4. 3/72

Answer 1

3^(7/2) = 2.; 7^(1/2) = 1,; 3^(2/7) = 3.; 7^(2/3) = 4.

Explanation:

To convert the expressions to their radical form, we remember this formula:

`b^(exponent)/(index)=\sqrt[index]{b^e^x^p^o^n^e^n^t}`

Thus, for 3^(7/2), 7 is the exponent and 2 is the index, which gives us

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

For 7^(1/2), 1 is the exponent and 2 is the index, which gives us

`√(7)`.

For 3^(2/7), 2 is the exponent and 7 is the index, which gives us

`\sqrt[7]{3^2}`.

For 7^(2/3), 2 is the exponent and 3 is the index, which gives us

`\sqrt[3]{7^2}`