6
QuizMultiple Choice

Negative Exponents — Quiz

Question 6 • Mathematics III

Which expression is equivalent to open paren 1 over 16 close paren to the negative 4 power ?

Answer
A
4th root of 1 over 16
B
16 to the 4th power
C
negative open paren 1 over 16 close paren to the negative 4 power
D
negative 16 to the 4th power

Explanation

A negative exponent means take the reciprocal of the base and then use the positive exponent: (1/16)^−4 = 16^4. Therefore, the equivalent expression is 16 to the 4th power; the negative sign does not make the result negative.

AI-written and checked against the verified answer.

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