Which of the following is equivalent to 1 half raised to the negative 2 t power ?

Use the negative-exponent rule: (1/2)^(-2t) = 2^(2t), since taking the reciprocal changes the exponent’s sign. Then apply the power-of-a-power rule: 2^(2t) = (2^2)^t. So the equivalent expression is “(2 squared) to the tth power,” choice C.

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