Page 73 - Math Course 2 (Book 1)
P. 73
Monomial Expressions
Product of Powers
Your Turn!
Examples Identify Monomials
Which expression is a monomial?
4
Simplify (r )(–12r ).
7
A. x 5
4
7
7
4
(r )(–12r ) = (1)(–12)(r )(r ) Group the
coef cients and B. 3p – 1
the variables. 9x
C. y
= –12(r + ) Product of Powers c
4
7
D.
d
Answer = –12r Simplify
11
Answer
5
5 2
Simplify (6cd )(5c d ).
Product of Powers
(6cd )(5c d ) = (6)(5)(c • c )(d d ) Group the
5
5 2
5
5
2
coef cients Simplify (5x )(4x ).
2
3
and the
variables. A. 9x 5
B. 20x 5
= 30(c 1+5 )(d 5+2 ) Product of C. 20x 6
Powers. D. 9x 6
6
Answer = 30c d Simplify.
7
Answer
3
2
2
Power of a Power Simplify 3xy (–2x y ).
A. 6xy 5
2 6
Example B. –6x y
3 5
C. 1x y
3 5
D. –6x y
3 3 2
Simplify [(2 ) ] .
3 3
)
[(2 ) ]2 = (2 3 ‧ 3 2 Power of a Power Answer
9 2
= (2 ) Simplify. Power of a Power
= 2 9 ‧ 2 Power of a Power
2 2 3
Simplify [(4 ) ] .
Answer = 2 or 262,144 Simplify. A. 4 7
18
B. 4 8
C. 4 12
D. 4 10
Answer
65
