20
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Question 20 • Algebra I

The table shows a pattern of exponents. Powers of 5 Value 5 cubed 125 5 squared 25 5 to the 1th power 5 5 to the 0 power 1 5 inverse 1 fifth 5 to the negative 2 power 1 over 25 What is the pattern as the exponents decrease?

Answer
A
subtract 5 from the previous value
B
divide the previous value by 5
C
subtract 100 from the previous value
D
divide the previous value by 25

Explanation

As the exponent decreases by 1, each value is divided by 5: 125 ÷ 5 = 25, 25 ÷ 5 = 5, and 5 ÷ 5 = 1. The pattern continues with 1 ÷ 5 = 1/5 and 1/5 ÷ 5 = 1/25. So the rule is to divide the previous value by 5, choice B.

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