As the exponents decrease in the pattern of powers of 5, the relationship is division by 5. Therefore, the correct answer is: C. divide the previous value by 5.
The pattern in the sequence of powers of 5 involves decreasing the exponent.
As the exponents decrease, the relationship is division by 5. Starting from 5^3 and moving downward, each subsequent value is obtained by dividing the previous value by 5.
This consistent division by 5 reflects the diminishing power of 5.
Therefore, the correct choice is C. divide the previous value by 5, as this accurately describes the mathematical progression observed in the pattern of exponents for powers of 5. Hence, option C is correct.
The complete question is:
The table shows a pattern of exponents.
Powers of 5
5 ^ 3
5²
5 ^ 1
5⁰
5-1
5-²
What is the pattern as the exponents decrease?
A. subtract 5 from the previous value
B. subtract 100 from the previous value
C. divide the previous value by 5
D. divide the previous value by 25