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Exponential Projecto

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Exponential Projecto

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  • This next rule is more about the placement of the exponent. It is called the Negative Exponent Rule
  • When the exponent is negative, the base gets flipped and the exponent becomes positive. Basically doing the reciprocal.
  • So if the term is 9^-2 then it would equal 1/9^2?
  • Correct. You just flip and make exponent positive. The algebraic representation is a^-m= 1/a^m.
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  • The next thing I will teach you is converting radical notation to exponent notation.
  • Radicals become included when the exponent is a fraction. The exponent notation would be a^m/n. Radical notation's format is n√a^m or (n√a)^m. The index is the denominator of the fraction and m is what a is powered to. Converting it is just making it into a fraction which gets rid of the radical.
  • So for example if I had to convert 3√x^2, it would be x^2/3 because the 3 or index is denominator and 2 is m (the numerator).
  • Correct! The algebraic representation would be n√a^m = (n√a)^m= a^m/n
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  • This rule is similar to the previous rule. It is basically the opposite, converting exponent notation to radical notation.
  • This rule is just the opposite of what we learned. The exponent's denominator becomes the index and the numerator can be inside or outside of the radical.
  • Oh, that seems easy. So 8^3/5=5√8^3 or (5√8)^3
  • Exactly! You can follow this algebraic representation, a^m/n=n√a^m = (n√a)^m
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