Compare Powers: Is 6¹ Greater Than 1⁶?

To solve this problem, we'll compare the two expressions $6^1$ and $1^6$ by computing each power:

• Step 1: Calculate $6^1$.
• Since the exponent is 1, $6^1 = 6$.
• Step 2: Calculate $1^6$.
• Any number raised to a power of 6 is multiplied by itself six times. Here, $1^6 = 1 \times 1 \times 1 \times 1 \times 1 \times 1 = 1$.
• Step 3: Compare the results.
• $6^1 = 6$ and $1^6 = 1$.

Since $6 > 1$, we conclude that $6^1$ is larger than $1^6$.

Therefore, the answer is $>$.