7
QuizMultiple Choice

Negative Exponents — Quiz

Question 7 • Mathematics III

Describe how to simplify the expression the fraction with numerator 3 to the negative 6 power and denominator 3 to the negative 4 power

Answer
A
Keep the base the same and then add the exponents.
B
Keep the base the same and then subtract the exponents.
C
Multiply the bases and then subtract the exponents.
D
Divide the bases and then add the exponents.

Explanation

When dividing powers with the same base, keep the base and subtract the denominator’s exponent from the numerator’s exponent. Here, 3⁻⁶ ÷ 3⁻⁴ = 3⁻⁶⁻⁽⁻⁴⁾ = 3⁻². So the correct choice is “Keep the base the same and then subtract the exponents.”

AI-written and checked against the verified answer.

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