copyrightamberpasillas 2010 Bell Work 1 1 1 1

copyright©amberpasillas 2010

Bell Work 1 • 1 1 • -1 -1 • -1 = = -1 • -1 • -1 • -1 = Odd # of Negatives = Negative Even # of Negatives = Positive copyright©amberpasillas 2010

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 copyright©amberpasillas 2010

• Zero Exponent: copyright©amberpasillas 2010

Simplify. copyright©amberpasillas 2010

Definition of Negative Exponent a-n is the reciprocal of an copyright©amberpasillas 2010

Definition of Negative Exponent For any integer n, a-n is the reciprocal of an copyright©amberpasillas 2010

Definition of Negative Exponent For any integer n, a-n is the reciprocal of an copyright©amberpasillas 2010

Simplify. copyright©amberpasillas 2010

Study the table and FOLLOW THE PATTERN! Exponent, n Power, 2 n 5 2 4 2 3 2 1 0 2 2 32 16 8 4 2 1 What do you think 2– 4 will be? 2– 4 = 1 24 16 What do you think 2– 5 will be? 2– 5 = 1 25 32 copyright©amberpasillas 2010 – 1 2 – 2 2 1 4 – 3 2 1 8

Study the table and FOLLOW THE PATTERN! Exponent, n Power, 3 n 5 3 4 3 3 3 2 1 0 3 3 3 243 81 27 9 3 1 What do you think 3– 4 will be? 3– 4 = 1 34 81 What do you think 3– 5 will be? 3– 5 = 1 35 243 copyright©amberpasillas 2010 – 1 3 – 2 3 1 9 – 3 3 1 27

Simplifying Expressions • -2 copyright©amberpasillas 2010

Simplify the following expressions: 1 -n 3 p 6 x 5 1 16 copyright©amberpasillas 2010

Practice Problems 1. 2 -2 ¼ 2. (-2)0 1 3. 5 -x 1/5 x 4. (½)-1 2 5. 5(2 -1) 5/2 6. 2 x-2 y-3 2/y 3 x 2 copyright©amberpasillas 2010

More Practice 7. x-5 1/x 5 8. x 5/2 9. x 4 y-7 x 4/y 7 10. x 3 y/9 copyright©amberpasillas 2010

The end copyright©amberpasillas 2010

Powers of Ten #4 1 10 2 100 10 10 3 -1 10 -2 1, 000 10 4 10 10, 000 -3 5 10 10 100, 000 10 copyright©amberpasillas 2010 1 1 10 = 0. 1 1 10 2 1 100 1 10 3 1 = 1000 = 0. 01 0. 001

#5 Negative Exponents -n For any integer n, a is the n reciprocal of a EXAMPLES: A negative exponent is an inverse! copyright©amberpasillas 2010

#6 Any number to the zero power is ALWAYS ONE. x 0 = 1 Ex: copyright©amberpasillas 2010