MATA02H3 Lecture : Review of high school material
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MATA02H3 Full Course Notes
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2^3 - the 2 is the base, the 3 is the exponent, the whole expression is a power. (-4)^3 = (-4)(-4)(-4) Law of exponent for multiplication: when multiplying powers with equal bases, add the exponents. a^m x a^n = a^m+n. Law of exponent for division: when dividing powers with equal bases, subtract the exponents. a^m / a^n = a^m-n. Law of exponent for powers: when raising a power to an exponent, multiply the inner exponent by the outer exponent. (a^m)^n = a^mn. Law of exponent for power of products- when raising a product to a power, place the exponent of the product on each factor (xy)3 = (xy)(xy)(xy) = x3y3. Law of exponents for powers of quotent- when raising a quotient to a power, place the exponent of the quotient on each of the terms. (x/y)3 = (x/y)(x/y)(x/y) = x3/y3. Zero exponents- x^0 is 1 for all numbers except for 0^0, which is undefined.
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