Lesson 14-5 for exercise sets. &KDSWHU
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Use algebra tiles to multiply or divide.
- 2 x(5x) 2. 6 x• 3x 3. 4.
Multiply or divide algebraically.
5.( 2 y)(3y^4 ) 6.m• m^5 7. 8.
9.Discuss and Write Find the monomial to complete the statement
12 x^3 y^6 ? • 3x^2 y^4. Explain how you found your answer.
100 p^4
10 p
59 r^3
59 r
8 x^2
4 x
12 x^2
4 x
You can use division of a monomial to find missing dimensions.
Suppose that Angela is working on a different poster. This poster will
have an area of 10x^2 square meters and a width of 2xmeters. What will
the length of this poster be?
To find the length of the poster, divide:
You can use algebra tiles to model the division of monomials such as.
Form a rectangle with a width of 2xusing ten x^2 tiles.
10 x^2
2 x
10 x^2
2 x
Identify the length of the rectangle.
5 x represents the length.
So 5 x.
To solve the same problem algebraically, you can
also divide the two monomials by dividing the
coefficients and dividing the variables. Be sure to
use the appropriate Laws of Exponents.
• Divide coefficients; divide variables.
5 x(2 1) Apply the Law of Exponents for Division.
5 x^1 5 x Simplify.
So the length of Angela’s poster is 5x meters.
x^2
x
10
2
10 x^2
2 x
10 x^2
2 x
Remember:
Law of Exponents for Division
amana am n
m
an
?
2 x
xxxxx
x
x
x^2 x^2 x^2 x^2 x^2
x^2 x^2 x^2 x^2 x^2