Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Quiz for Lessons 6.1-6.2 - Page 427: 12

1

$\frac{3\sqrt 7^3 + 4\sqrt 7^3}{\sqrt 7^5}$ $=\frac{(3+4)\sqrt 7^3 }{\sqrt 7^5}$ $=\frac{7\sqrt 7^3 }{\sqrt 7^5}$ $=\frac{7. 7^{\frac{3}{2}} }{7^{\frac{5}{2}}}$ $=\frac{7^{(1+\frac{3}{2})} }{7^{\frac{5}{2}}}$ $=\frac{7^{\frac{5}{2})} }{7^{\frac{5}{2}}}$ $=1$