Final Answer:
The answer is B: Because the base (5) is positive. This is because any number multiplied by itself an even number of times is always positive, thus the correct option is B.
Step-by-step explanation:
The question is asking why 5⁴ is a positive number. The answer is that any number multiplied by itself an even number of times is always positive. For example, if you take any number, such as 3, and multiply it by itself four times, you get 3⁴ = 81, which is a positive number. This is true for any number, and 5⁴ is no different.
The same holds true for negative numbers as well. If you take a negative number, such as -3, and multiply it by itself four times, you get (-3)⁴ = -81, which is also a positive number. This is because when a negative number is multiplied by itself an even number of times, the result is always positive.
The other answers are incorrect because they do not take into account the fact that any number multiplied by itself an even number of times is always positive. Answer A is incorrect because any number raised to an even power is positive, but this does not account for the fact that 5⁴ is a positive number because the base is positive. Answer C is incorrect because the exponent (4) is positive, but this does not explain why 5⁴ is a positive number. Answer D is incorrect because 5 is an odd number, and thus does not explain why 5⁴ is a positive number.