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Section 11-1: Properties of Exponents Suppose m and n are positive integers and a and b are real numbers. Then the following are true:. = b. = 5. = 1. = 1. = =. =. =. =. =. =. =. =. =. =. =. = or =. Example 1 Evaluate each expression. = = = 256. - PowerPoint PPT Presentation
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Property Definition Example
Property of 1:
Property of 0:
Property of Negatives:
Product Property
Power of a Power
Power of a Quotient
Power of a Product
Quotient Property
Section 11-1: Properties of Exponents
Suppose m and n are positive integers and a and b are real numbers. Then the following are true:
= b
= 1
=
=
=
=
=
=
= 5
= 1
= =
=
=
=
=
= or =
178
1481
Example 1 Evaluate each expression.
d. 5-4c.
e. f.
a. b.45 ∙ 43
44
(3a-2)3•3a5
=
=
= 256
=
= =
=
= 729
=
=
Example 2 Simplify each expression.
a. b.(s5t2)3
Example 3 Simplify each expression.
a. b. 1
8 416a 6 216x
¿ 𝑠15 𝑡6
=
=
=
=
=
Example 4 Evaluate each expression.
a. b.35243
23
13
27
27
Example 5 a. Express using rational exponents.
b. Express using a radical.
105 2532s t
3 14 420x y
=
= 27
=
=
= 3
=
=
204√𝑥3 𝑦
Example 6 Simplify:
Example 7 Solve: 333 = - 10.
√𝑟5𝑠15𝑡 4
32x
¿𝑟 2𝑠7 𝑡2√𝑟𝑠
=
=
= x
= x
49 = x
