Explain and visualize the patterns of powers of 2 and 3. What comes next?

Here's how to visually represent the powers of 2 and 3:

Powers of 2:

• $2^1 = 2$: Represent this with two individual units, like two circles ($\circ \circ$).
• $2^2 = 4$: Represent this with a $2 \times 2$ square grid, using four circles arranged in a square.
• $2^3 = 8$: Represent this with a $2 \times 4$ rectangular grid, using eight circles arranged in two rows of four.
• $2^4 = 16$: Represent this with a $4 \times 4$ square grid, using sixteen circles arranged in a square.

Pattern for Powers of 2:
The visual pattern shows that each successive power of 2 is formed by doubling the number of units from the previous power. For example, $2^2$ is two groups of $2^1$, and $2^3$ is two groups of $2^2$.

Powers of 3:

• $3^1 = 3$: Represent this with three individual units, like three circles ($\circ \circ \circ$).
• $3^2 = 9$: Represent this with a $3 \times 3$ square grid, using nine circles arranged in a square.
• $3^3 = 27$: Represent this with a $3 \times 9$ rectangular grid, using twenty-seven circles arranged in three rows of nine.

Pattern for Powers of 3:
The visual pattern shows that each successive power of 3 is formed by tripling the number of units from the previous power. For example, $3^2$ is three groups of $3^1$, and $3^3$ is three groups of $3^2$.