3
QuizMultiple Choice

Negative Exponents — Quiz

Question 3 • Mathematics III

Describe how open paren 2 cubed close paren times open paren 2 to the negative 4 power close paren can be simplified.

Answer
A
Keep the same base and add the exponents. Then multiply by negative 1 .
B
Multiply the bases and add the exponents. Then find the reciprocal and change the sign of the exponent.
C
Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
D
Keep the base and multiply the exponents. Then multiply by negative 1 .

Explanation

When multiplying powers with the same base, keep the base and add the exponents: 2³ × 2⁻⁴ = 2^(3 + (−4)) = 2⁻¹. A negative exponent means take the reciprocal and make the exponent positive, so 2⁻¹ = 1/2. This matches choice C.

AI-written and checked against the verified answer.

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