 # Zero & Negative Exponents

## Presentation on theme: "Zero & Negative Exponents"— Presentation transcript:

Zero & Negative Exponents
8.1 Zero & Negative Exponents

8.1 – Zero & Negative Exponents
Goals / “I can…” Simplify expressions with zero and negative exponents Evaluate exponential expressions

Multiply Integers REVIEW
8.1 – Zero & Negative Exponents Multiply Integers REVIEW 1 • 1 = +1 1 • -1 = -1 -1 • -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

8.1 – Zero & Negative Exponents
22 Means… 2 • 2 = 4 21 Means… 2 = 2 20 Means… 1 What does 2-1 Mean?

8.1 – Zero & Negative Exponents
What does 2-1 Mean? You cannot leave an exponent negative because there is NO WAY to express it’s meaning. You must make it positive!

8.1 – Zero & Negative Exponents
You do NOT want to have negative exponents in your answer. You get rid of them by flipping the exponent over, like reciprocals. If the negative exponent is on top, move it to the bottom.

8.1 – Zero & Negative Exponents
Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

a-n is the reciprocal of an
8.1 – Zero & Negative Exponents Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

a-n is the reciprocal of an
8.1 – Zero & Negative Exponents Definition of Negative Exponent For any integer n, a-n is the reciprocal of an

8.1 – Zero & Negative Exponents
A negative exponent is an inverse! Flip the number over to make the exponent positive! Simplify.

8.1 – Zero & Negative Exponents
Follow the Pattern! 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

8.1 – Zero & Negative Exponents
Zero Exponent: Negative Exponent: RULE: YOU SHOULD NEVER HAVE A NEGATIVE EXPONENT AS YOUR FINAL ANSWER

8.1 – Zero & Negative Exponents
Simplify.

8.1 – Zero & Negative Exponents
Simplify the following: a c. (-4) b. (-8.1) d. ( ) -2 -5

8.1 – Zero & Negative Exponents
Simplify.

8.1 – Zero & Negative Exponents
Simplify a. 11m b. 7s - 4t c d. -5 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
2. (-2)0 1 x 1/5x 4. (½)-1 2 (2-1) 5/2 x-2y-3 2/y3x2

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

8.1 – Zero & Negative Exponents
Evaluate each expression for n = -2 and w = 5 a. n w b. c. d. -3