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

1-56.

Wei Kit loves shortcuts! When calculating with fractional exponents, he looks for a way to avoid using his calculator. For example, he found out that 8

^{2/3}= 4 by using the method below:

Use Wei Kit's method to evaluate the following expressions: Homework Help ✎100

^{3/2}27

^{4/3}16

^{3/4}9

^{4/2}

To avoid dealing with large numbers, find the square root of 100 first.

Step 1: What is the cube-root of 27?

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

What is the fourth-root of 16?