Understanding Exponents and Their Properties

The video tutorial introduces the concept of exponents, explaining how they indicate the number of times a base is multiplied by itself. It covers both positive and negative bases, focusing on how the sign of the result changes depending on whether the exponent is odd or even. Examples are provided to illustrate these concepts, showing that a negative base raised to an even exponent results in a positive value, while a negative base raised to an odd exponent results in a negative value.

What does the exponent in a number indicate?

• The number of times to subtract the base.

• The number of times to divide the base.

• The number of times to multiply the base.

• The number of times to add the base.

What is the result of 2^3?

• 4

• 6

• 8

• 10

In the expression 4^2, what is the base?

• 2

• 16

• 4

• 8

What is the result of (-3)^3?

• 9

• -27

• 27

• -9

What happens when you multiply two negative numbers?

• The result is negative.

• The result is undefined.

• The result is positive.

• The result is zero.

What is the result of (-2)^6?

• 32

• -32

• 64

• -64

When the exponent of a negative base is even, the result is:

• Always negative

• Undefined

• Always positive

• Zero

What is the result of (-5)^2?

• 10

• -10

• 25

• -25

What is the result of (-5)^3?

• 25

• -25

• 125

• -125

If the exponent of a negative base is odd, the result is:

• Undefined

• Zero

• Always negative

• Always positive