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Laws of exponents
- 3. PRODUCT OF POWERS
𝑎3
. 𝑎2
= 𝑎3+2
= 𝑎5
EXAMPLES:
21. 21 = 21+1 = 22
(𝑥 + 𝑦)3
. (𝑥 + 𝑦)5
= (𝑥 + 𝑦)3+5
= (𝑥 + 𝑦)8
- 5. POWER OF A POWER
(𝑎3
)2
= 𝑎3.2
= 𝑎6
EXAMPLES:
(25)1= 25.1 = 25
((𝑥 + 𝑦)4
)5
= (𝑥 + 𝑦)4.5
= (𝑥 + 𝑦)20
- 7. POWER OF A PRODUCT
(𝑎𝑏)3
= 𝑎3
𝑏3
EXAMPLES:
(𝑥𝑦)5 = 𝑥5 𝑦5
(2𝑥2
)3
= 23
𝑥6