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

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Respuesta

The simplest form of the given expression is .

Explicación

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