1. 7-1 Integer Exponents 7-2 Powers of 10 and Scientific Notation 7-3 Multiplication Properties of Exponents 7-4 Division Properties of Exponents 7-5 Fractional Exponents 7-6 Polynomials 7-7 Adding and Subtracting Polynomials 7-8 Multiplying Polynomials 7-9 Special Products of BinomialsPreview Warm Ups

2. 7-1 Integer Exponents Warm Up Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = 10 2. for x = 4 and y = (–7) Write each number as a power of the given base. –100 4343 3. 64; base 4 (–3) 3 4. –27; base (–3)

3. 7-2 Powers of 10 and Scientific Notation Warm Up Evaluate each expression. 1. 123  1,000 2. 123  1,000 3. 0.003  100 4. 0.003  100 5. 10 4 6. 10 –4 7. 23 0 123,000 0.123 0.3 0.00003 10,000 0.0001 1

4. 7-3 Multiplication Properties of Exponents Warm Up Write each expression using an exponent. 1. 2 2 2 2. x x x x 3. Write each expression without using an exponent. 4. 4 3 5. y 2 6. m –4 2323 4 4 4y

5. Warm Up Simplify. 1. (x 2 ) 3 3. 5. 2.2. 4. 6. 7. Write in scientific notation. 8. x6x6 7-4 Division Properties of Exponents

6. Warm Up Simplify each expression. 1. 2. 3. 4. 5. 6. 6 0 4 1 10 –3 7-5 Fractional Exponents

7. Warm Up Evaluate each expression for the given value of x. 1. 2x + 3; x = 22. x 2 + 4; x = –3 3. –4x – 2; x = –14. 7x 2 + 2x; x = 3 Identify the coefficient in each term. 5. 4x 3 6. y 3 7. 2n 7 8. –s 4 7 13 269 4 1 2 –1 7-6 Polynomials

8. 7-7 Adding and Subtracting Polynomials Warm Up Simplify each expression by combining like terms. 1. 4x + 2x 2. 3y + 7y 3. 8p – 5p 4. 5n + 6n 2 Simplify each expression. 5. 3(x + 4) 6. –2(t + 3) 7. –1(x 2 – 4x – 6) 6x6x 10y 3p3p not like terms 3x + 12 –2t – 6 –x 2 + 4x + 6

9. Warm Up Evaluate. 1. 3 2 3. 10 2 Simplify. 4. 2 3  2 4 6. (5 3 ) 2 9 16 100 2727 2. 242. 24 5. y 5  y 4 5656 7. (x 2 ) 4 8. –4(x – 7) –4x + 28 y9y9 x8x8 7-8 Multiplying Polynomials

10. Warm Up Simplify. 1. 4 2 3. (–2) 2 4. (x) 2 5. –(5y 2 ) 16 49 4 x2x2 2. 722. 72 6. (m 2 ) 2 m4m4 7. 2(6xy) 2(8x 2 ) 8. 16x 2 –5y 2 12xy 7-9 Special Products of Binomials