Given xgt 0 rewrite the following expression in simplest radical form. sqrt (64x)cdot sqrt [4](81x^11) Answer Attemptiout of 2 square

To simplify the given expression, we need to rewrite it in terms of the fourth root.<br /><br />The expression is $\sqrt {64x}\cdot \sqrt [4]{81x^{11}}$.<br /><br />We can rewrite the square root as a fourth root: $\sqrt {64x} = \sqrt [4]{64x^2}$.<br /><br />Now, we can rewrite the expression as $\sqrt [4]{64x^2} \cdot \sqrt [4]{81x^{11}}$.<br /><br />Using the property of radicals, we can combine the two expressions: $\sqrt [4]{64x^2 \cdot 81x^{11}}$.<br /><br />Simplifying the expression inside the fourth root, we get $\sqrt [4]{5184x^{13}}$.<br /><br />Therefore, the simplified expression is $\sqrt [4]{5184x^{13}}$.