Exponential Projecto

Glida: 1
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.
Glida: 2
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
Glida: 3
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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