Roots and Exponents Concepts

The video tutorial covers evaluating radical and rational expressions, focusing on common student difficulties. It provides examples, including evaluating negative 9 to the seventh root of one, the cube root of 64 squared, 125 to the one-third power, and two over two to the negative second power. The tutorial demonstrates using a calculator for these calculations, emphasizing key strokes and understanding negative exponents.

What is the result of evaluating the seventh root of one?

• 1

• -1

• 7

• 0

If you have negative nine times the seventh root of one, what is the result?

• 1

• 0

• -9

• 9

What is the cube root of 64?

• 2

• 3

• 4

• 5

After finding the cube root of 64, what is the result when you square it?

• 16

• 12

• 20

• 8

What is the cube root of 125?

• 6

• 5

• 4

• 3

What is the result of squaring the cube root of 125?

• 20

• 25

• 30

• 15

What does a negative exponent indicate in an expression?

• Reciprocal

• Multiplication

• Subtraction

• Addition

How do you simplify two over two to the negative second power?

• 1

• 2

• 4

• 8

What is the result of 2 cubed?

• 4

• 6

• 8

• 10

Which key on the calculator is used to indicate a root other than a square root?

• Exponent key

• Second function key

• Multiplication key

• Division key