Simplify. Express your answer as the given base raised to a single exponent.(310)10
Question
Simplify. Express your answer as the given base raised to a single exponent.
Solution
1. Break Down the Problem
We need to simplify and express it as a base raised to a single exponent.
2. Relevant Concepts
To simplify a number in a given base, we typically look for the prime factorization of the number.
3. Analysis and Detail
First, we find the prime factorization of .
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Start by dividing by :
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Next, divide by :
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Finally, is a prime number.
So, the prime factorization of is:
4. Verify and Summarize
Since is composed of different primes and cannot be expressed as a single base raised to a power, we cannot simplify to a single exponent term.
Final Answer
The expression cannot be simplified to a single base raised to an exponent; it remains .
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