Glencoe Math Connects, Course 3

							Main Idea
NGSSS
Key Concept: Zero and Negative Exponents
Example 1: Write Expressions using Positive Exponents
Example 2: Write Expressions using Positive Exponents
Example 3: Evaluate Expressions with Negative Exponents
Example 4: Evaluate Expressions with Negative Exponents
Example 5: Write Expressions using Negative Exponents
Example 6: Write Expressions using Negative Exponents
Example 7: Real-World Example: Use Negative Exponents
Example 8: Multiply and Divide with Negative Exponents
Example 9: Multiply and Divide with Negative Exponents
Five-Minute Check
• Write and evaluate expressions using negative
  exponents.
MA.8.A.6.3 Simplify real number
expressions using the laws of exponents.
               Write Expressions using Positive
               Exponents

Write 4–4 using a positive exponent.

                  Definition of negative exponent




Answer:
Write 5–7 using a positive exponent.


A. –57


B. 57


C.


D.
               Write Expressions using Positive
               Exponents

Write c–7 using a positive exponent.

                  Definition of negative exponent




Answer:
Write r–8 using a positive exponent.


A. r8


B. –r8


C.


D.
                Evaluate Expressions with
                Negative Exponents

Evaluate 5–2.

                  Definition of negative exponent


                  52 = 5 • 5 or 25



Answer:
Evaluate 4–5.


A. –20


B.


C.


D.
                   Evaluate Expressions with
                   Negative Exponents

Evaluate (–8)–2.

                     Definition of negative exponent


                     (–8)2 = (–8)(–8) or 64



Answer:
Evaluate (–5)–3.


A. –125


B.


C.


D. 125
                Write Expressions using Negative
                Exponents

Write     as an expression using a negative
exponent.

                   9 = 32


  = 3–2            Definition of negative exponent


Answer: 3–2
Write    as an expression using a negative
exponent.

A.


B.


C. 7–2


D. 72
               Write Expressions using Negative
               Exponents

Write   as an expression using a negative
exponent.


                 Definition of negative exponent



Answer: f –5
Write    as an expression using a negative
exponent.
A. m–6


B. –m6


C.


D.
                          Use Negative Exponents

SCIENCE A grain of salt weighs about 0.0001 gram.
Write the decimal as a power of 10.


                  Write the decimal as a fraction.


                  10,000 = 104


       = 10–4     Definition of negative exponent

Answer: A grain of salt weighs about 10–4 gram.
FISH A sea horse travels about 0.01 mile per
hour. Write the decimal as a power of 10.

A. 103


B. 102


C. 10–2


D. 10–3
                    Multiply and Divide with Negative
                    Exponents

Simplify a–5 • a–3. Express using positive
exponents.

a–5 • a–3 = a–5 + (–3)   Product of Powers

          = a–8          Add the exponents.

                         Definition of negative exponents



Answer:
Simplify x4 • x–6. Express using positive exponents.

A. x10


B. x2


C.


D.
               Multiply and Divide with Negative
               Exponents

Simplify     . Express using positive exponents.


                  Quotient of Powers


    = c2          Subtract the exponents.


Answer: c2
Simplify   . Express using positive exponents.

A. 812


B. 86


C.


D.
Write 7–6 using a positive exponent.

A. –76


B. 76


C.


D.
Write (–10)–3 using a positive exponent.

A.


B.


C. –103


D. 103
Write x–5 using a positive exponent.

A.


B.


C. x5


D. (–x)5
Simplify 6–2 • 65. Express using positive exponents.

A. 6–3


B. 63


C. 6–10


D. 610
Simplify   . Express using positive exponents.

A. 8–15


B.   8–2


C.   82


D.   815
Simplify –5x2y –2 • 3x–3y5. Express using positive
exponents.

A. –15xy3


B.


C.


D.
Simplify     . Express using positive
exponents.
A. ab


B.


C.


D.
Which of the following correctly shows 11–3, 111,
113, 110, and 11–1 in order from least to greatest?

A. 11–1, 11–3, 110, 111, 113

B. 110, 11–3, 11–1, 111, 113

C. 113, 111, 110, 11–1, 11–3

D. 11–3, 11–1, 110, 111, 113