month. About how many text messages is this? Use
mental math.
1-2 Powers and Exponents
Express the expression using exponents.
1. (–5)(–5)(–5)(–5)
ANSWER: 8,000,000,000 or 8 billion
8. Interstate 70 stretches almost 23 • 52 • 11 miles
across the United States. About how many miles
long is Interstate 70?
ANSWER: ANSWER: 4
(–5)
2,200 mi
2. 3 • 3 • 5 • q • q • q
Evaluate the expression.
9. g 5 – h 3 if g = 2 and h = 7
ANSWER: 2
3 • 5 • q
3
ANSWER: –311
3. m • m • m • m • m
ANSWER: 10. c2 + d 3 , if c = 8 and d = –3
5
m
ANSWER: Evaluate the expression.
4. (–9)4
ANSWER: 6,561
37
11. a 2 • b 6 if a =
and b = 2
ANSWER: 16
5. 12. (r – s)3 + r2 if r = –3 and s = –4
ANSWER: ANSWER: 10
13. Apply Math to the Real World Refer to the
graphic novel frame below for Exercises a–d.
6. ANSWER: 7. Select Tools and Techniques In the United
9
States, nearly 8 • 10 text messages are sent every
month. About how many text messages is this? Use
mental math.
ANSWER: 8,000,000,000 or 8 billion
8. Interstate 70 stretches almost 23 • 52 • 11 miles
across the United States. About how many miles
long is Interstate 70?
ANSWER: 2,200 mi
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Evaluate the expression.
9. g 5 – h 3 if g = 2 and h = 7
The metric system is based on powers of 10. For
example, one kilometer is equal to 1,000 meters or
3
10 meters. Express each measurement in meters as
a power of 10.
a. hectometer (100 meters)
b. megameter (1,000,000 meters)
c. gigameter (1,000,000,000 meters)
d. petameter (1,000,000,000,000,000 meters)
ANSWER: 2
a. 10
b. 106
9
c. 10
d. 1015
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12. (r – s)3 + r2 if r = –3 and s = –4
1-2 ANSWER: Powers and Exponents
10
13. Apply Math to the Real World Refer to the
graphic novel frame below for Exercises a–d.
The metric system is based on powers of 10. For
example, one kilometer is equal to 1,000 meters or
3
10 meters. Express each measurement in meters as
a power of 10.
a. hectometer (100 meters)
b. megameter (1,000,000 meters)
c. gigameter (1,000,000,000 meters)
d. petameter (1,000,000,000,000,000 meters)
ANSWER: 2
a. 10
b. 106
9
c. 10
d. 1015
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