Editing Chapter 2: An ancient theorem and a modern question
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This is known as the additive property of exponentiation. It can be written as: | This is known as the additive property of exponentiation. It can be written as: | ||
<math> 2^3 \cdot 2^5 = 2^{3+5} < | <math> 2^3 \cdot 2^5 = 2^{3+5} <\math> | ||
Or more generally: | Or more generally: | ||
<math> 2^a \cdot 2^b = 2^ | <math> 2^a \cdot 2^b = 2^a+b <\math> | ||
Now, you may notice that this doesn't help if we are interested in numbers like <math>2^{\frac{1}{2}}</math> or <math>2^{-1}</math>. These cases are covered in the recommended section if you are interested but are not strictly necessary for understanding this chapter. | Now, you may notice that this doesn't help if we are interested in numbers like <math>2^{\frac{1}{2}}</math> or <math>2^{-1}</math>. These cases are covered in the recommended section if you are interested but are not strictly necessary for understanding this chapter. |