Question

$$\frac{\sqrt[2]{x^{5}\sqrt[2]{x^{2}}}}{\sqrt[4]{x^{2}\sqrt[5]{x^{4}\sqrt[4]{x^{4}}}}$$

Answer

$$sqrt[2]x^7*sqrt[4]x^6*sqrt[5]x^4$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
sqrt\(2\)x^7*sqrt[4]x^6*sqrt[5]x^4