Understanding Exponents

1
Understanding Exponents
Base
Exponent
4
3
Power
2
4
3
Exponential Form
3
1
3
3
Expanded Form
3
x
3
x
3
x
3
4
2
3
3
Multiply 3x3x3x3 81
Standard Form
81
3
How would you write this problem using exponents?
1. 2 2 2  2 2  2 2
27
2. (-3)(-3) (-3)(-3)
(-3)4
a8
3. a a a a a  a a a
4. a m m a m  a a
a4 m3
5. p 2 r r r  p 2
22 p2 r3
4
Can you solve these Problems?
1. 4( 3 2)2
4(5)2
4(55)
4(25)
100
2. 2 52 4 (-3)
-62

• 2x3 4y (x -2 y 3)

192
4. 3(a)2 6 ( a 5)
81

• -a4 (a 2)

-16
6. (-a)4 (a 2)
16
5
Homework 4-2
Name______________________
Solve each Problem
Simplify each Expression
1. m4, for m 5 ________
13. (-2)3 and -23 ________
2. -(2p)2, for p 7 ________
14. 28 and 44 ________
3. b6, for b -1 ________
15. 3(8 - 6)2 ________
4. (6 h2)2, for h 3 ________
16. (-2)(-5)2(3) ________
5. y3 - 2y2 3y - 4, for y 5 ________
17. (17 - 3)2 (42 - 32) ________
18. 43 (25 - 42) ________
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 ________