1. Powers and Exponents Simplify 35 – (3 • 2)2. 35 – (3 • 2)2 = 35 – (6)2
COURSE 3 LESSON 1-7
Powers and Exponents
Simplify 35 – (3 • 2)2.
35 – (3 • 2)2 = 35 – (6)2
Work inside the grouping symbols.
= 35 – 36
Simplify the power.
= –1
Subtract.
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2. Powers and Exponents Evaluate each expression for y = –5. a. (4y)3
COURSE 3 LESSON 1-7
Powers and Exponents
Evaluate each expression for y = –5.
a. (4y)3
(4y)3 = [4(–5)]3
Substitute –5 for y.
Work inside the grouping symbols.
= [–20]3
Write (–20) three times.
= [(–20)] [(–20)] [(–20)]
= –8000
Multiply.
b. 4y3
4y3 = 4(–5)3
Substitute –5 for y.
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3. Powers and Exponents = 4(–5)(–5)(–5) Write –5 three times. = –500
COURSE 3 LESSON 1-7
(continued)
= 4(–5)(–5)(–5)
Write –5 three times.
= –500
Multiply.
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4. Powers and Exponents
COURSE 3 LESSON 1-7
s2 + h2 2h
Use the expression to find the radius of a doorway that
has the dimensions s = 3 ft and h = 1 ft.
s2 + h2 2h
2 • 1 =
Substitute 3 for s and 1 for h.
9 + 1
2 • 1 =
The fraction bar acts as a grouping symbol. Simplify the powers. 10 2 =
Simplify above and below the fraction bar.
Divide.
= 5
The radius of the doorway is 5 ft.
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5. Powers and Exponents 1. Write a • a • a • b • b using exponents.
COURSE 3 LESSON 1-7
1. Write a • a • a • b • b using exponents.
2. Simplify (–4)3. 3. Simplify –25.
4. Simplify (–8 • 5)2 – Simplify 10 – (5x)2 for x = –2.
6. Simplify 32 • 23 – 62.
a3b2
–64
–32
1,519
–90 36
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