Question

Simplify. Express the quotient as a radical expression.
^11SQRTX^10 / ^11SQRTx^6

the options are
A) ^0 SQRT x^4
B) ^11 SQRT x^16
C) ^11 SQRT x^4
D) ^121 SQRT x^60

Answer 1

\[\frac{\sqrt[11]{x^{10}}}{\sqrt[11]{x^{6}}} = \frac{x^{10/11}}{x^{6/11}} = x^{10/11 - 6/11} = x^{4/11} = \sqrt[11]{x^{4}}\]