### Home > PC3 > Chapter 1 > Lesson 1.3.3 > Problem1-136

1-136.

Rewrite each of the following radical expressions using fractional exponents instead of radicals and exponents. Example: $\sqrt[5]{6^{11}}=6^{11/5}$

1. $\sqrt [ 3 ] { 5 ^ { 2 } }$

$5^{\text{power/root}} = 5^{2/3}$

1. $( \sqrt [ 4 ] { 2 } ) ^ { 5 }$

$2^{\text{power/root}}$

1. $\sqrt { 7 ^ { 3 } }$

What is the root?

1. $( \sqrt { 7 } ) ^ { 3 }$

$7^{3/2}$

1. $7\sqrt { 7 }$

$7^{1} · 7^{1/2} = \text{ ?}$

1. $9\sqrt [ 3 ] { 3 }$

$3^{2}·3^{1/3} = \text{ ?}$