Arithmetic/Exponents/Exercise Answers

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Answers to Exponent Exercises[edit]

1. What are , , ,

Answers:

a.
b.
c.
d.


2. Write these numbers as powers of 2:

Answers:

a.
b.
c.


3. What is

Answer:


4. What is

Answer:


5. Harder: Why does ? (clue: think about , for example)

Answer:

From the first and third equations above, we can see that:
The exponent doesn't have to be 2. The exponent can be any real number and the same logic would work. It was mentioned in the first Arithmetic chapter that a number raised to the 0 power equals 1; i. e.,    
.