Exponents

What number is being multiplied over and over again?

2 • 2 • 2 • 2 • 2

How many times is 2 used as a factor?

The base is the number being multiplied.

The exponent is the number of times the base is a factor.

2 • 2 • 2 • 2 • 2 = 25

Identify the base and the exponent in 25.

25

Exponential Expression

25 is read “2 to the fifth power”

A Power of One

21 = 231 = 341 = 4

n1 = n

Any number to the power of 1 equals that number.

A Power of Zero

20 = 130 = 140 = 1

n0 = 1

Any number to the power of 0 equals 1.

What exponential expression is equal to the following?

3 × 3 × 3 × 3 = ?

4 × 4 × 4 = ?

7 × 7 × 7 × 7 = ?

3 × 3 × 3 × 3 × 3 × 3 × 3 = ?

What exponential expression is equal to the following?

3 × 3 × 3 × 3 = 34

4 × 4 × 4 = 43

7 × 7 × 7 × 7 = 74

3 × 3 × 3 × 3 × 3 × 3 × 3 = 37

What value of x makes the number sentence true?

4x = 16

21x = 21

45x = 1

3x = 81

What value of x makes the number sentence true?

4x = 16 x = 2

21x = 21 x = 1

45x = 1 x = 0

3x = 81 x = 4

What value of x makes the number sentence true?

x2 = 16

x1 = 99

x0 = 1

x4 = 1

What value of x makes the number sentence true?

x2 = 16 x = 4

x1 = 99 x = 99

x0 = 1 x = any number

x4 = 1 x = 1

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