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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
www.ixl.com 8th F8