5.2 More with Exponents!!!

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# 5.2 More with Exponents!!! - PowerPoint PPT Presentation

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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Presentation Transcript
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: (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: (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: (n4)4

= n16

= n4•4

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 = an• bn

(4x)2 = 42• x2

(2y3)4 = 24• (y3)4

(a2b3)4

a8 b12

(3ab5)2

9a2 b10