Negative Exponents and Zero Exponents

Bell Work = 1 • 1 1 • -1 = -1 • -1 = -1 • -1 • -1 = -1 • -1 • -1 • -1 -1 • -1 • -1 • -1 • -1 = -1 • -1 • -1 • -1 • -1 • -1 = Odd # of Negatives = Negative Even # of Negatives = Positive

Bell Work Get out a piece of paper for notes. Label it 7.1 Watch this video and answer the 4 problems at the end on Tuesday’s bell work

Negative & Zero Exponents

Zero Exponents Simplify.

Definition of Negative Exponent a-n is the reciprocal of an

Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

Simplify.

Negative & Zero Exponents Study the table and FOLLOW THE PATTERN! Exponent, n 25 24 23 22 21 20 2–1 2–2 2–3 Power, 2n 1 2 1 4 1 8 32 16 8 4 2 1 What do you think 2–4 will be? 2–4 = 1 = 1 24 16 What do you think 2–5 will be? 2–5 = 1 = 1 25 32

Negative & Zero Exponents Study the table and FOLLOW THE PATTERN! Exponent, n 35 34 33 32 31 30 3–1 3–2 3–3 Power, 3n 1 3 1 9 1 27 243 81 27 9 3 1 What do you think 3–4 will be? 3–4 = 1 = 1 34 81 What do you think 3–5 will be? 3–5 = 1 = 1 35 243

Simplifying Expressions   -2

Simplify the following expressions: 1 x5 16 -n3p6 1

Practice Problems 1. 2-2 2. (-2)0 3. 5-x 4. (½)-1 5. 5(2-1) 6. 2x-2y-3 1. 2-2 ¼ 2. (-2)0 1 3. 5-x 1/5x 4. (½)-1 2 5. 5(2-1) 5/2 6. 2x-2y-3 2/y3x2

More Practice 7. x-5 1/x5 8. x5/2 9. x4y-7 x4/y7 10. x3y/9

The end

Powers of Ten # 4 1 10 10 -1 1 10 = 0.1 10 1 2 100 3 -2 1 10 1 100 = 0.01 1,000 10 2 4 10,000 -3 1 10 1 1000 = 0.001 10 5 100,000 3

Negative Exponents For any integer n, a-n is the reciprocal of an # 5 EXAMPLES: A negative exponent is an inverse!

Ex: # 6 Zero Exponent Any number to the zero power is ALWAYS ONE.