5.2: Properties of Exponents

$$\sqrt[7]{x^3}$$

$$\left(x^7\right)^{\frac{1}{3}}$$

$$\left(x^{\frac{1}{7}}\right)^3$$

$$\left(\sqrt[7]{x}\right)^3$$

$$\sqrt[3]{x^{\frac{1}{7}}}$$

$$x^{\frac{15}{4}}y^5$$

$$x^{\frac{23}{4}}y^6$$

$$x^{\frac{35}{4}}$$

$$x^{\frac{15}{4}}$$

$$7\sqrt{2}$$  

$$2\sqrt{7}$$  

$$49\sqrt{2}$$  

$$2\sqrt{49}$$  

$$7\sqrt{78}$$  

$$19\sqrt{6}$$  

$$7\sqrt{6}$$  

$$12\sqrt{80}$$  

$$7\sqrt{80}$$  

$$24\sqrt{20}$$  

$$48\sqrt{5}$$  

$$\frac{\sqrt{15}}{6}$$  

$$\frac{\sqrt{15}}{18}$$  

$$\frac{5\sqrt{3}}{6}$$  

$$\frac{5\sqrt{3}}{18}$$  

$$\frac{70\sqrt{3}}{10}$$  

$$\frac{7\sqrt{3}}{100}$$  

$$\frac{7\sqrt{30}}{10}$$  

$$7\sqrt{3}$$