Given xgt 0 rewrite the following expression in simplest form. sqrt (4x^2)cdot sqrt [3](64x^6) Answer Attemptiout of 2 square

## Step 1<br />The given expression is \(\sqrt {4x^{2}}\cdot \sqrt [3]{64x^{6}}\). We need to simplify this expression.<br /><br />## Step 2<br />The square root of \(4x^{2}\) is \(2x\). This is because the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, \(2x \times 2x = 4x^{2}\).<br /><br />## Step 3<br />The cube root of \(64x^{6}\) is \(4x^{2}\). This is because the cube root of a number is a value that, when multiplied by itself three times, gives the original number. In this case, \(4x^{2} \times 4x^{2} \times 4x^{2} = 64x^{6}\).<br /><br />## Step 4<br />Now, we multiply the results from Step 2 and Step 3. This gives us \(2x \times 4x^{2} = 8x^{3}\).