Final answer:
Options A (2^-2 = 1/4) and D (2^2 = 4) are the correct exponential forms representing the equations in the question. Option A shows a negative exponent resulting in the reciprocal squared, while Option D shows a base of 2 being squared to get 4.
Step-by-step explanation:
The question at hand involves converting given expressions into their exponential form and evaluating them. From the options provided, we need to choose the one that represents the correct exponential form corresponding to the given value.
- A) 2^-2 = 1/4 is the exponential form stating that 2 raised to the power of -2 equals 1/4.
- B) 2^2 = 1/4 is incorrect because 2 squared (2^2) equals 4, not 1/4.
- C) 2^-2 = 4 is incorrect because 2 raised to the power of -2 equals 1/4, not 4.
- D) 2^2 = 4 is the correct exponential form indicating that 2 squared equals 4.
When dealing with negative exponents, the number is taken as the reciprocal when the exponent is -1 and squared if the exponent is -2. So, for the accurate representation in exponential form in this set of options, we have Option A) 2^-2 = 1/4 and Option D) 2^2 = 4 as the correct exponential forms.