Question

Write the expression 6^7/12 in radical form.

Answer 1

`In\\general \\ a^{ (x)/(y) } = \sqrt[y]{a^(x)} For our example, \\ \\6^{ (7)/(12) = \sqrt[12]{6^(7)}`

Answer 2

To write the expression
`6^{(7)/(12)}` in radical form.

To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.

Use the rule:

`a^{(x)/(y)} = \sqrt[y]{a^x}`

Apply this rule on the the given expression:

`6^{(7)/(12)}`

=
`\sqrt[12]{6^7}`

Therefore, the expression
`6^{(7)/(12)}` in radical form is
`\sqrt[12]{6^7}`