Tionna has saved dimes and quarters in her piggy bank. She has a total of 25 coins which add up to $4.00. How many dimes and quarters does she have?
Homework: 7­1 Practice
1
Product of Powers:
To multiply two powers that have the same base, add their exponents.
2+3 = x5
2 3
x ∙ x = x
Simplify (Always combine like terms first!)
(6n3) (2n7)
(r4)(­12r7)
(6cd5)(5c5d2)
2
Power of a Power:
To find the power of a power, multiply the exponents.
6
2 3 2∙3
(a ) = a = a
Simplify the following:
34
(x )
3 2 4 [(2 ) ]
232
[(3 ) ]
3
Power of a Product:
Find the power of each factor and multiply.
(ab)m = ambm
Example:
(­2xy3)5 = (­2)5x5(y3)5 = ­32x5y15
Simplify: [(8g3h4)2]2(2gh5)4
4
Determine whether each expression is a monomial:
1. 122
2. 3. 4. 2c + 2
5
6
7
8
Problems to work on at the white board:
4 3
4
(5u v)(7u v )
8 4
Answer: 35u v
4 9 2
(4a b c)
8 18 2
Answer: 16a b c
2 3 23
(­2f g h )
6 9 6
Answer: ­8f g h
2 4
2q (9q )
Answer: 18q
6
3 3
2 2
(5x y) (2xy z) (4xyz)
8 12 4
Answer: 800x y z
9
Simplify:
(b8c6d5)(7b6c2d)
Answer: 7b14c8d6
[(­2xy2)3]2
Answer:
10