Question

understanding exponents
name: joe gaston
rewrite the number as a multiplication problem.

1. $9^2$
2. $7^3$
3. $3^3$
4. $2^2$
5. $3^5$

rewrite the multiplication problem in exponential notation.

1. $4×4×4$
2. $4×4×4×4×4$
3. $4×4×4×4$
4. $5×5×5×5$
5. $5×5×5$

solve the problem.

1. $7×7×7×7$
2. $6^3$
3. $2^2$
4. $4^2$
5. $7^2$
6. $7^3$
7. $8^2$
8. what is 5 cubed?
9. what is 6 cubed?
10. what is 7 cubed?

answers

1. 18
2. 21
3. 9
4. 4
5. 15

6.
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Explanation:

Step1: Rewrite exponents as multiplication

1. $9^2 = 9 \times 9$
2. $7^3 = 7 \times 7 \times 7$
3. $3^3 = 3 \times 3 \times 3$
4. $2^2 = 2 \times 2$
5. $3^5 = 3 \times 3 \times 3 \times 3 \times 3$

Step2: Rewrite multiplication as exponents

1. $4 \times 4 \times 4 = 4^3$
2. $4 \times 4 \times 4 \times 4 \times 4 = 4^5$
3. $4 \times 4 \times 4 \times 4 = 4^4$
4. $5 \times 5 \times 5 \times 5 = 5^4$
5. $5 \times 5 \times 5 = 5^3$

Step3: Solve exponential/ multiplication problems

1. $7 \times 7 \times 7 \times 7 = 7^4 = 2401$
2. $6^3 = 6 \times 6 \times 6 = 216$
3. $2^2 = 2 \times 2 = 4$
4. $4^2 = 4 \times 4 = 16$
5. $7^2 = 7 \times 7 = 49$
6. $7^3 = 7 \times 7 \times 7 = 343$
7. $8^2 = 8 \times 8 = 64$
8. 5 cubed = $5^3 = 5 \times 5 \times 5 = 125$
9. 6 cubed = $6^3 = 6 \times 6 \times 6 = 216$
10. 7 cubed = $7^3 = 7 \times 7 \times 7 = 343$

Answer:

1. $9 \times 9$
2. $7 \times 7 \times 7$
3. $3 \times 3 \times 3$
4. $2 \times 2$
5. $3 \times 3 \times 3 \times 3 \times 3$
6. $4^3$
7. $4^5$
8. $4^4$
9. $5^4$
10. $5^3$
11. $2401$
12. $216$
13. $4$
14. $16$
15. $49$
16. $343$
17. $64$
18. $125$
19. $216$
20. $343$