4
QuizMultiple Choice

Mathematical Modeling: Part Two — Test

Question 4 • Mathematics III

Which expression is equivalent to open paren 5 to the negative 2 power close paren times open paren 5 inverse close paren ?

Answer
A
negative 1 over 125
B
1 over 125
C
1 fifth
D
negative 1 fifth

Explanation

When multiplying powers with the same base, add the exponents: 5⁻² × 5⁻¹ = 5⁻³. A negative exponent means take the reciprocal, so 5⁻³ = 1/5³ = 1/125, which is choice B.

AI-written and checked against the verified answer.

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