**Rational Exponents and Radicals: Tutorial** **Question** Divide the radical expressions. Assume \( x > 0 \). \[ 5\sqrt{x^7} \div \sqrt{x^4} \] Enter the correct answer in the box. **Answer Box** The box allows input of mathematical symbols for the answer, including options for square roots, parentheses, basic arithmetic operations (addition, subtraction, multiplication, division), and inequalities (greater than, less than, etc.). Also included are symbols from the Greek alphabet and other mathematical constants. **Detailed Explanation** To solve the problem: 1. **Combine the Radicals**: - Use the property \(\sqrt{a} \div \sqrt{b} = \sqrt{\frac{a}{b}}\). 2. **Simplify the Expression**: - \(\sqrt{\frac{x^7}{x^4}} = \sqrt{x^{7-4}} = \sqrt{x^3}\). 3. **Apply Radicals to Exponents**: - \(\sqrt{x^3} = x^{3/2}\). 4. **Multiply**: - \(5 \times x^{3/2}\). The correct expression is entered in the provided box using the available symbols and format.

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