1. Lesson 3 Negative exponents
Chapter 1 Real Numbers
Lesson 3 Negative exponents

2. Negative Exponents I can write expressions using positive exponents.
I can write expressions using negative exponents.

3. Vocabulary
Multiplicative inverse

4. Powers and Exponents 5 0 =1 𝑥 0 =1 7 −3 = 1 7 3 𝑥 −5 = 1 𝑥 5
Any nonzero number to the zero power is 1.
5 0 =1 𝑥 0 =1
Any nonzero number to a negative n power is the multiplicative inverse (or reciprocal) of its nth power. Negative powers are the result of repeated division.
7 −3 = 𝑥 −5 = 1 𝑥 5

5. Example 1 – Write each expression using positive exponents.
7 −10
(−5) −4
𝑔 −7

6. Try These
5 0
𝑤 −13

7. Example 2 – Write each fraction as an expression using a negative exponent other than -1.
1 125

8. Try These
1 (−5) 7
1 1024

9. Example 3 – Write each expression without a negative exponent.
4𝑦 −9
6𝑏 0

10. Try These
(3𝑟) 0
𝑐 2 𝑑 −6

11. `
Express each of the following using positive exponents:
𝑟 − 𝑝 − 𝑡 −5