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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.

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slide1

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 =

slide2

Example 1 Evaluate each expression.

=

=

= 256

=

a. b.

=

c.

=

d.5-4

=

=

e. f.

(3a-2)3•3a5

=

= 729

slide3

Example 2 Simplify each expression.

a. b.

(s5t2)3

Example 3 Simplify each expression.

=

=

a. b.

=

=

=

slide4

Example 4 Evaluate each expression.

=

= 27

=

=

= 3

a. b.

Example 5

a. Express using rational exponents.

b. Express using a radical.

=

=

slide5

Example 6Simplify:

=

Example 7 Solve: 333 = - 10.

=

= x

= x

49 = x