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5.2 More with Exponents!!!. Goals: (1) to find a power of a power (2) to find a power of a product or quotient. Review: True or false? 3x -3 = (3x) -3. Simplify: (3 2 ) 4. (3 • 3) (3 • 3) (3 • 3) (3 • 3). = 3 8.

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5 2 more with exponents
5.2 More with Exponents!!!

  • Goals:

  • (1) to find a power of a power

  • (2) to find a power of a product or quotient


5 2 more with exponents

Review:

True or false?

3x-3 = (3x)-3


Simplify 3 2 4
Simplify: (32)4

(3 • 3) (3 • 3) (3 • 3) (3 • 3)

= 38

To simplify a number with an exponent that is being raised to another exponent, multiply the two exponents.

Raising a Power to a Power: (am)n = amn


Simplify y 2 5
Simplify: (y2)5

(y2) (y2) (y2) (y2) (y2) = y2•5

= y10

To simplify a number with an exponent that is being raised to another exponent, multiply the two exponents.

(am)n = amn


Simplify n 4 4
Simplify: (n4)4

= n16

= n4•4


Simplify 2x 4 3
Simplify: (2x4)3

(2x4) (2x4) (2x4)

2 • x4• 2 • x4 • 2 • x4)

2 • 2 • 2 • x4 • x4 • x4)

23• (x4)3

8 • x12


Raising a product to a power a b n a n b n
Raising a product to a power:(a • b)n = an• bn

(4x)2 = 42• x2

(2y3)4 = 24• (y3)4


2a 3 3
(2a3)3

8a9


A 2 b 3 4
(a2b3)4

a8 b12


3ab 5 2
(3ab5)2

9a2 b10


Raising a quotient to a power
Raising a Quotient to a power:





Assignment page 212 2 62 even
Assignment:page 2122-62 even