CPM Homework Help : CALC Problem 1-56

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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 ✎
1. 100^3/2
2. 27^4/3
3. 16^3/4
4. 9^4/2

Hint (a):

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

$\text{Afterall, } 100^{ \frac{1}{2} }\text{ is equivalent to }\sqrt{100}.$

Steps (a):

Steps (b):

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

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

Hint (c):

What is the fourth-root of 16?

Hint (d):

$\text{Reduce \frac{4}{2}\ before evaluating.}$

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