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Answer :
Final answer:
3125 can be expressed in index form as 5^5, which is determined through factoring the number using base 5.
Explanation:
The given number 3125 can be expressed in index form using the base number 5. To determine which power of 5 results in 3125, you can perform a prime factorization of the number or try successive powers of 5 until you reach 3125. Through factoring, we find:
- 5 x 5 x 5 x 5 x 5 = 5^5 = 3125
So, the correct way to write 3125 in index form with the base 5 is 5^5, which corresponds to option B.
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