Question

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

Answer 1

Answer:

To write the expression $6^{\frac{7}{12}}$ 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:

$a^{\frac{x}{y}} = \sqrt[y]{a^x}$

Apply this rule on the the given expression:

$6^{\frac{7}{12}}$

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

Therefore, the expression $6^{\frac{7}{12}}$ in radical form is $\sqrt[12]{6^7}$

Answer 2

$In\\general \\ a^{ \frac{x}{y} } = \sqrt[y]{a^{x}} For our example, \\ \\6^{ \frac{7}{12} = \sqrt[12]{6^{7}}$