### Home > APCALC > Chapter 1 > Lesson 1.2.3 > Problem 1-56

1-56.

Wei Kit loves patterns! When making calculations with rational exponents, he looks for a way to avoid using his calculator. For example, he knows that 8^{2/3 }= 4 by using the method below:

8^{2/3} = ^{2 }= 4

Use Wei Kit’s method to evaluate the following expressions: Homework Help ✎

100

^{3/2}To avoid dealing with large numbers, find the square root of 100 first.

27

^{4/3}Step 1: What is the cube-root of 27?

Step 2: Raise the cube-root of 27 to the 4th-power.

16

^{3/4}What is the fourth-root of 16?

9

^{4/2}