QUESTION 4: Simplify fully. 4.1 a³ x a² 4.2 (x³ + 1)⁰ 4.3 x/x⁵ 4.4 2x²yx³y / 12x⁶y³

• e) (Figure b): This figure has 3 cans in the bottom row, 2 in the middle, and 1 on top. Total cans = $3 + 2 + 1 = 6$.
• f) (Figure c): This figure has 5 cans in the bottom row, 4 in the next, 3 in the next, 2 in the next, and 1 on top. Total cans = $5 + 4 + 3 + 2 + 1 = 15$.
• e) $\boxed{6}$
• f) $\boxed{15}$

• a) (Figure a): This figure has 1 can, which forms 1 row.
• b) (Figure b): This figure has 3 cans in the bottom row, and 3 rows in total.
• c) (Figure c): This figure has 5 cans in the bottom row, and 5 rows in total.
• a) $\boxed{1}$
• b) $\boxed{3}$
• c) $\boxed{5}$

Observing the pattern from the top row downwards:
The 1st row (from the top) has 1 can.
The 2nd row (from the top) has 2 cans.
The 3rd row (from the top) has 3 cans.
Following this pattern, the nth row (from the top) will have n cans.

• $\boxed{n}$

From the figures:

• Figure a: 1 can in the base, 1 row.
• Figure b: 3 cans in the base, 3 rows.
• Figure c: 5 cans in the base, 5 rows. The number of rows is equal to the number of cans in the base (bottom) row.
• The number of rows is equal to the number of cans in the base (bottom) row.