High School

Write 3125 in index form using 5 as a base.

A. [tex]5^4[/tex]
B. [tex]5^5[/tex]
C. [tex]5^6[/tex]
D. [tex]5^7[/tex]

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.

Learn more about index form here:

https://brainly.com/question/165721

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