Powers of Monomials

Lesson #4

Pg. 191

What You’ll Learn• To find the power of a power

Uses multiplication

• To find the power of a productFind the power of each factor and multiply

Power of a Power• To find a power of a power, MULTIPLY the

exponents

• RULE

• Example

n m nma a g

3 2 32 65 5 or 5 g

Example of Product of Powers Rule

546 5 factors

4 4 4 4 46 6 6 6 6

64444444444744444444448

20or 6

20 factors

6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 664444444444444444444444744444444444444444444448

g g g g g g g g g g g g g g g

4 4 4 4 4= 6

546 4 56 g

20= 6

Examples

348 57k

Power of a Product• To find the power of a product, find the

power of each factor and multiply

• RULE

• Example

m m mab a b

3 332 2 66 6 or 216xx x g

Example of Product of Powers Rule

523a 5 factors

2 2 2 2 23 3 3 3 3a a a a a644444444444474444444444448

10 10=243 a or 243ag

2 2 2 2 23 3 3 3 3 a a a a a g g g g g g g g g

55 23 a g

Examples

434p 57 62m n

HOMEWORK

HW: pg. 194 (1-7)pg. 195 (1-12)

 ALSO TEST CORRECTIONS

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