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Understanding Exponents
3
4
4
3
31
3
3
3 x 3 x 3 x 3
3
2
4
3
Multiply 3x3x3x3 = 81
81
How would you write this problem
using exponents?
1. 2 • 2 • 2 • 2 • 2 • 2 • 2 = 27
2. (-3)(-3) (-3)(-3) =
(-3)4
3. a • a • a • a • a • a • a • a =
a8
4. a • m • m • a • m • a • a =
a4 m3
5. p • 2 • r • r • r • p • 2 =
22 p2 r3
1. 4( -3 + -2)2 =4(5)2
4(5•5)
2. 2 • 52 + 4 • (-3)=
-62
3. 2x3 + 4y (x = -2 ; y = 3) 192
4. 3(a)2 + 6 ( a = 5)
5. -a4 (a = 2)
6. (-a)4 (a = 2)
81
-16
16
4(25) =100
Homework 4-2
Solve each Problem
1.
2.
3.
4.
5.
Name:______________________
Simplify each Expression
m4, for m = 5 ________
-(2p)2, for p = 7 ________
b6, for b = -1 ________
(6 + h2)2, for h = 3 ________
y3 - 2y2 + 3y - 4, for y = 5 ________
Write using Exponents
6. 3 • 3 • 3 • 3 ________
7. k • k • k • k • k ________
8. (-9)(-9)(-9)m • m • m ________
9. g • g • g • g • h ________
10. 7 • a • a • b • b • b ________
11. -8 • m • n • n • 2 • m • m ________
12. d • (-3) • e • e • d • (-3) • e ________
13.
14.
15.
16.
17.
18.
(-2)3 and -23 ________
(-2)8 and 44 ________
3(8 - 6)2 ________
(-2)(-5)2(3) ________
(17 - 3)2 ÷(42 - 32) ________
43 ÷ (25 - 42) ________
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