Explain the terms base number and exponent, identify them in 32, and list the square numbers on a multiplication board.

• $2 = 2$
• $9^2 = 9 \times 9 = 81$
• $5^2 = 5 \times 5 = 25$
• $5 = 5$
• $6^2 = 6 \times 6 = 36$
• $2^2 = 2 \times 2 = 4$
• $8^2 = 8 \times 8 = 64$
• $7^2 = 7 \times 7 = 49$
• $1^2 = 1 \times 1 = 1$
• $1^3 = 1 \times 1 \times 1 = 1$
• $10 = 10$
• $11^2 = 11 \times 11 = 121$
• $4^2 = 4 \times 4 = 16$
• $10^2 = 10 \times 10 = 100$

The list of values is: $2, 81, 25, 5, 36, 4, 64, 49, 1, 1, 10, 121, 16, 100$.

$1, 1, 2, 4, 5, 10, 16, 25, 36, 49, 64, 81, 100, 121$

$\boxed{1^2, 1^3, 2, 2^2, 5, 10, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2}$

7) Arrange the above numbers in descending order:
To arrange in descending order, we take the ascending list and reverse it.
$\boxed{11^2, 10^2, 9^2, 8^2, 7^2, 6^2, 5^2, 4^2, 10, 5, 2^2, 2, 1^3, 1^2}$

8) Fill in $<, >$ or $=$

• a. $2^2 \_ 2 \times 2$

  • $2^2 = 4$
  • $2 \times 2 = 4$
  • So, $4 = 4$
  • $\boxed{2^2 = 2 \times 2}$

• b. $5^2 \_ 5 \times 2$

  • $5^2 = 25$
  • $5 \times 2 = 10$
  • So, $25 > 10$
  • $\boxed{5^2 > 5 \times 2}$

• c. $9^2 \_ 9 \times 9$

  • $9^2 = 81$
  • $9 \times 9 = 81$
  • So, $81 = 81$
  • $\boxed{9^2 = 9 \times 9}$

• d. $8^2 \_ 2 \times 8$

  • $8^2 = 64$
  • $2 \times 8 = 16$
  • So, $64 > 16$
  • $\boxed{8^2 > 2 \times 8}$

• e. $11^2 \_ 10 \times 11$

  • $11^2 = 121$
  • $10 \times 11 = 110$
  • So, $121 > 110$
  • $\boxed{11^2 > 10 \times 11}$

• f. $3 \times 3 \_ 3^2$

  • $3 \times 3 = 9$
  • $3^2 = 9$
  • So, $9 = 9$
  • $\boxed{3 \times 3 = 3^2}$

9) Numbers which have an exponent of 2 are called $\boxed{\text{square}}$ numbers.