The image asks to arrange the numbers $3^2$, $6^1$, $7^2$, and $17^1$ in increasing order.

Let's compute each of these values:

• $3^2 = 9$
• $6^1 = 6$
• $7^2 = 49$
• $17^1 = 17$

Now, the numbers are: $9$, $6$, $49$, and $17$.

Arranging them in increasing order:

$6, 9, 17, 49$

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. What is the general rule for comparing powers of numbers?
2. How do you calculate the powers of a number quickly?
3. What are some tricks to estimate large powers without a calculator?
4. How does the base of the power affect the order of numbers?
5. Can you apply the same method to arrange fractional powers?

Tip: When comparing powers, it helps to first compute or estimate their actual values to see the magnitude difference clearly.