The quiz covers exponents. We need to evaluate the expressions in problems 6 through 10. Also, we need to solve word problems 11 and 12.

1. Problem Description

The quiz covers exponents. We need to evaluate the expressions in problems 6 through

1

0. Also, we need to solve word problems 11 and

1

2.

2. Solution Steps

6. $3^4 = 3 \times 3 \times 3 \times 3 = 9 \times 9 = 81$

7. $5^3 = 5 \times 5 \times 5 = 25 \times 5 = 125$

8. $8^1 = 8$

Anything to the power of 1 is itself.

9. $2^0 = 1$

Anything (except 0) to the power of 0 is

1.

1

0. $9^2 = 9 \times 9 = 81$

1

1. Liam stacks 3 chairs. Each chair has 3 books. Each book has 2 drawings.

Total number of drawings = (Number of chairs) $\times$ (Number of books per chair) $\times$ (Number of drawings per book)

Total drawings = $3 \times 3 \times 2 = 9 \times 2 = 18$

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2. Sara builds a tower using 2 blocks. She doubles the number of blocks on each level. She builds 4 levels.

Level 1: 2 blocks

Level 2: $2 \times 2 = 4$ blocks

Level 3: $4 \times 2 = 8$ blocks

Level 4: $8 \times 2 = 16$ blocks

The number of blocks used at the top level (level 4) is

1

6.

3. Final Answer

6. 81

7. 125

8. 8

9. 1

1

0. 81

1

1. 18

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2. 16