Page 76 - Math Course 2 (Book 1)

Monomial Expressions: Division

Mo. 3

Lesson 2 Zero Exponent

Words Any nonzero number raised to the zero
KEY CONCEPTS: power is 1.
1. Simplify expressions involving the quotient Symbols For any nonzero number a, a = 1.
0
of monomials.
2. Simplify expressions containing negative Example (–0.25) = 1
0
exponents

MO. 3 - L2a
Monomial Division:

Simplifying Expressions Let’s Begin

Vocabulary A-Z

Let us learn some vocabulary Quotient of Powers

Example
Zero exponent
x y
7 12
Any nonzero number raised to the zero power is 1. Simplify . Assume that no denominator is
x y
6 3
equal to zero.
(–0.25) 0 = 1
7 12
y
x y = x 7 12 Group powers that have
x y x 6 3 the same base.
6 3
y
Key Concept = (x 7–6 ) (y 12–3 ) Quotient of Powers
Answer = xy 9
Quotient of a Powers

Words To divide two powers with the same
base, subtract the exponents. Power of a Quotient

Symbols For all integers m and n and any nonzero
a m
number a, = a m–n Example
a n
b 15
Example = b 15–7 or b 8
b 7 4c d 3
3 2
Simplify
5
Power of a Quotient 3
4c d = (4c d ) Power of a Quotient
3 2
3 2 3
5 (5)
Words To f nd the power of a quotient, f nd the
power of the numerator and the power 4 (c ) (d ) Power of a Quotient
3
3 3
2 3
of the denominator. =
5 3
Symbols For any integer m and any real numbers
9 6
a m a m 64c d
a and b, b = 0, = Answer = Power of a Power

b b m 125
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