Which expressions are equivalent to open paren 2 to the 5th power close paren to the negative 2 power ?

Use the power-of-a-power rule: multiply the exponents, so (2^5)^-2 = 2^(5 × -2) = 2^-10. A negative exponent means take the reciprocal: 2^-10 = 1/2^10 = 1/1024. Therefore, the equivalent expressions are 2 to the negative 10th power and 1/1024.

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