Exponents and Roots Practice Problems

The video tutorial covers lesson 15 from page 77, focusing on equivalent exponential expressions. It explains how to calculate powers of three and one-third for different values of X, identifies patterns in exponential products, and evaluates expressions for given X values. The tutorial also demonstrates solving equations involving exponents and roots, providing step-by-step calculations and encouraging students to practice independently.

What is the value of 3 raised to the power of 3?

• 81

• 243

• 9

• 27

If 1/3 is raised to the power of 2, what is the result?

• 1/27

• 1/6

• 1/9

• 1/3

What pattern is observed in the products of the 3 column as the exponent increases?

• They decrease

• They remain constant

• They increase

• They become negative

How do the products in the 1/3 column change as the exponent increases?

• They become zero

• They remain constant

• They decrease

• They increase

What is the result of 3 times 10 squared?

• 30

• 100

• 1000

• 300

When X is 1/9, what is the result of 3 times X squared?

• 1/9

• 3/81

• 1/81

• 1/27

What is the square root of 64?

• 7

• 6

• 8

• 9

What is the cube root of 64?

• 2

• 3

• 4

• 5

What is the result of 2 to the power of 5?

• 16

• 128

• 32

• 64

What is the result of 4 to the power of 3?

• 16

• 128

• 32

• 64