Exponents and Their Properties

The video tutorial covers the concept of powers, explaining bases and exponents. It demonstrates how to expand powers and convert between expanded and exponential forms. The tutorial also guides on calculating powers, including those with negative bases, and discusses special cases with exponents of one and zero. The lesson concludes with mixed examples to reinforce understanding.

What does the exponent in a power tell us?

• The number of times to multiply the base

• The number to be multiplied

• The sum of the base and exponent

• The result of the multiplication

How would you expand 7 to the power of 5?

• 7 + 5

• 7 x 5

• 7 x 7 x 7 x 7 x 7

• 7 + 7 + 7 + 7 + 7

What is the exponential form of 8 multiplied by itself four times?

• 8^3

• 8^4

• 8^2

• 4^8

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

• 16

• 32

• 64

• 128

What is the result of any number raised to the power of zero?

• Negative one

• Zero

• The number itself

• One

What is the value of -3 raised to the power of 4?

• 27

• -27

• 81

• -81

What is the value of -1 raised to the power of 5?

• 0

• -1

• 1

• 5

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

• 9

• 27

• 81

• 3

What is the value of 3 to the power of 0?

• 10

• 3

• 1

• 0

What is the final answer when you add 3^3, 3^2, 3^1, and 3^0?

• 70

• 60

• 50

• 40