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Law of Exponents

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by

jhasmeen alejo

on 19 November 2012

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Transcript of Law of Exponents

EXPONENTS LAW
OF EXPONENTS LAW OF EXPONENTS LAW OF EXPONENTS LAW OF EXPONENTS LAW OF EXPONENTS LAW OF EXPONENTS LAW OF EXPONENTS 5 #1: Exponential form: #2: Multiplicative Law of Exponents: #3: Division Law of Exponents: #4: Exponential Law of Exponents: #5: Product Law of Exponents: #6: Quotient Law of Exponents: 3 Base Exponent Power The exponent of a power indicates how
many times the base multiply itself. X n = x . x . x x x x .... . . n- times If the bases are the same
And if the operations between the bases is multiplication, then the result is the base powered by the sum of individual exponents . X m . X n = X m+n If the bases are the same
And if the operations between the bases is division, then the result is the base powered by the difference of individual exponents . x x = m n x m x . . n = x m-n If the exponential form is powered by another exponent, then the result is the base powered by the product of individual exponents. (x ) x m n = mn If the product of the bases is powered by the same exponent, then the result is a multiplication of individual factors of the product, each powered by the given exponent. (xy) n = x n . y n If the quotient of the bases is powered by the same exponent, then the result is both numerator and denominator , each powered by the given exponent. x y ( ) n = x n y n LAW OF EXPONENTS #7: Negative Law of Exponents: If the base is powered by the negative exponent, then the base becomes reciprocal with the positive exponent. x -m = x m 1 LAW OF EXPONENTS Any base powered by zero exponent equals one x 0 = 1 #8: Zero Law of Exponents:
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