10
QuizMultiple Choice

Negative Exponents — Quiz

Question 10 • Mathematics III

What is the quotient of the fraction with numerator 2 to the 4th power and denominator 2 to the negative 4 power ?

Answer
A
1
B
1 half
C
1 over 256
D
256

Explanation

When dividing powers with the same base, subtract the exponent in the denominator from the exponent in the numerator: 4 − (−4) = 8. So the quotient is 2⁸ = 256, which is choice D, “256.”

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