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Exponents. What number is being multiplied over and over again? 2 2 2 2 2 How many times is 2 used as a factor?

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Presentation on theme: "Exponents. What number is being multiplied over and over again? 2 2 2 2 2 How many times is 2 used as a factor?"— Presentation transcript:

1 Exponents

2 What number is being multiplied over and over again? 2 2 2 2 2 How many times is 2 used as a factor?

3 The base is the number being multiplied. The exponent is the number of times the base is a factor. 2 2 2 2 2 = 2 5 Identify the base and the exponent in 2 5. 2525

4 Exponential Expression 2 5 is read “2 to the fifth power”

5 A Power of One 2 1 = 2 3 1 = 3 4 1 = 4 n 1 = n Any number to the power of 1 equals that number.

6 A Power of Zero 2 0 = 1 3 0 = 1 4 0 = 1 n 0 = 1 Any number to the power of 0 equals 1.

7 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 = ?

8 What exponential expression is equal to the following? 3 × 3 × 3 × 3 = 3 4 4 × 4 × 4 = 4 3 7 × 7 × 7 × 7 = 7 4 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3 7

9 What value of x makes the number sentence true? 4 x = 16 21 x = 21 45 x = 1 3 x = 81

10 What value of x makes the number sentence true? 4 x = 16 x = 2 21 x = 21 x = 1 45 x = 1 x = 0 3 x = 81 x = 4

11 What value of x makes the number sentence true? x 2 = 16 x 1 = 99 x 0 = 1 x 4 = 1

12 What value of x makes the number sentence true? x 2 = 16 x = 4 x 1 = 99 x = 99 x 0 = 1 x = any number x 4 = 1 x = 1

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