Rewrite as a power of 10: 1/10
1 answer:
Answer:
Step-by-step explanation:
You have to know how negative exponents "work" to understand this concept.
because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.
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Step-by-step explanation:
We will prove by contradiction. Assume that is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that
. Then, for some integer
,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for and an odd positive number
,
Applying this formula in 1) we obtain that
.
Then, as we have that
is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.