Final answer:
Option B, 6^2, is the only perfect square among the options, as it represents 6 multiplied by itself, which equals 36.
Step-by-step explanation:
When looking at the options provided to determine which is a perfect square, it is important to understand the concept of squaring of exponentials. A perfect square is a number that is the product of a number multiplied by itself. In other words, for an exponent to result in a perfect square, it should be raised to the power of 2.
Option A, 6^1, means 6 to the power of 1, which is just 6, not a perfect square. Option B, 6^2, means 6 squared, which is 6×6, and this is indeed a perfect square. Options C and D, 6^3 and 6^5, represent 6 to the power of 3 and 5, respectively, which are not perfect squares since the exponents are not 2. Therefore, the answer is B. 6^2, which equals 36, and 36 is a perfect square because it is the product of 6 multiplied by itself.