Given xgt 0 rewrite the following expression in simplest form. sqrt [4](81x^8)cdot sqrt [3](64x^12) Answer Attemptiout of 2 square

## Step 1<br />The given expression is \(\sqrt [4]{81x^{8}}\cdot \sqrt [3]{64x^{12}}\). We need to simplify this expression.<br /><br />## Step 2<br />We start by simplifying each term separately. The fourth root of \(81x^{8}\) can be written as \((81x^{8})^{1/4}\). Similarly, the cube root of \(64x^{12}\) can be written as \((64x^{12})^{1/3}\).<br /><br />## Step 3<br />Next, we simplify the terms inside the parentheses. \(81\) can be written as \(3^4\), and \(x^{8}\) can be written as \((x^2)^4\). So, \((81x^{8})^{1/4}\) simplifies to \(3x^2\).<br /><br />## Step 4<br />Similarly, \(64\) can be written as \(4^3\), and \(x^{12}\) can be written as \((x^4)^3\). So, \((64x^{12})^{1/3}\) simplifies to \(4x^4\).<br /><br />## Step 5<br />Finally, we multiply the simplified terms together to get the final answer. So, \(3x^2 \cdot 4x^4 = 12x^6\).