21
QuizMultiple Choice

Mathematical Modeling: Part Two — Test

Question 21 • Mathematics III

What is the product of open paren 5 inverse close paren times open paren 5 to the negative 3 power close paren ?

Answer
A
1 over 625
B
125
C
25
D
1 over 25

Explanation

The inverse of 5 is 5⁻¹. When multiplying powers with the same base, add the exponents: 5⁻¹ × 5⁻³ = 5⁻⁴. A negative exponent means take the reciprocal, so 5⁻⁴ = 1/5⁴ = 1/625. The correct choice is 1 over 625.

AI-written and checked against the verified answer.

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