integer exponents. warm up find each product or quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2...

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Integer Exponents

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What pattern do you see in the powers of 5? What pattern do you see in the powers of 4? What patterns do you see in the powers of 3? Complete the table. Write a general rule for the value of a 0. Write a general rule for the value of a -n.

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Page 1: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Integer Exponents

Page 2: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Warm UpFind Each Product or Quotient

1. 45.3 x 103 5. 0.5 x 102

2. 7.08 ÷ 102 6. 67.7 ÷ 105

3. 0.00235 x 106 7. 0.0057 x 104

4. 3600 ÷ 104 8. 195 ÷ 106

Page 3: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

• What pattern do you see in the powers of 5?• What pattern do you see in the powers of 4?• What patterns do you see in the powers of 3?• Complete the table.• Write a general rule for the value of a0.• Write a general rule for the value of a-n.

Page 4: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 5: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 6: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 7: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 8: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 9: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Use the general rules we discovered.

Page 10: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 11: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 12: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Page 13: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Simplify each expression.

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