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Exponents

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Exponents: example 1000 Euro is invested at a compound interest of 3% yearly How much do we have after 1 year? 1000 + 0.03 1000 = 1000 (1+0.03) = 1000 1.03 = 1030 Remember: “+ 3% = 1.03” After 2 years? 1000 1.03 1.03 After 10 years? 1000 1.03 1.03 … 1.03 = 1000 1.03 10 1.03 10 : tenth power of 1.03

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Exponents: extension Calculator! 4 1 = 4 Convention: 4 0 = 1

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Exponents: in general a r r-th POWER of a a: BASE (strictly positive) r: EXPONENT (any real number)

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Rules for exponents (1) a 3 a 4 can be written more simply : Rule 1 (product of powers with same base) : Rule 2 (quotient of powers with same base) :

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Rules for exponents (3) Rule 3 (power of a power) :

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Rules for exponents (4) Rule 4 (power of a product) : Rule 5 (power of a quotient) :

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“Rule” (!) for exponents THAT IS NOT A RULE

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