Step-by-Step Solution:
To solve these problems, we need to evaluate each exponent. Remember that an exponent tells us how many times to multiply the base number by itself.
Let's work through each one:
1a. 2¹ = 2 (any number to the power of 1 equals itself)
1b. 5² = 5 × 5 = 25
2a. 3³ = 3 × 3 × 3 = 27
2b. 8² = 8 × 8 = 64
3a. 0⁸² = 0 (zero raised to any positive power equals zero)
3b. 100¹ = 100 (any number to the power of 1 equals itself)
4a. 10⁷ = 10,000,000 (1 followed by 7 zeros)
4b. 0²⁰ = 0 (zero raised to any positive power equals zero)
5a. 8¹ = 8 (any number to the power of 1 equals itself)
5b. 5¹ = 5 (any number to the power of 1 equals itself)
6a. 10⁴ = 10,000 (1 followed by 4 zeros)
6b. 6² = 6 × 6 = 36
7a. 4² = 4 × 4 = 16
7b. 7² = 7 × 7 = 49
8a. 100⁶ = 1,000,000,000,000 (1 followed by 12 zeros, since 100 = 10², so 100⁶ = 10¹²)
8b. 1⁹ = 1 (one raised to any power equals one)
9a. 9² = 9 × 9 = 81
9b. 1⁹⁹ = 1 (one raised to any power equals one)
10a. 100² = 10,000 (100 × 100 = 10,000)
10b. 2³ = 2 × 2 × 2 = 8
Verification:
- All calculations have been double-checked
- Special cases (0^n = 0, 1^n = 1, n^1 = n) are correctly applied
- Powers of 10 are correctly calculated with the right number of zeros
Final Answer:
1a. 2
1b. 25
2a. 27
2b. 64
3a. 0
3b. 100
4a. 10,000,000
4b. 0
5a. 8
5b. 5
6a. 10,000
6b. 36
7a. 16
7b. 49
8a. 1,000,000,000,000
8b. 1
9a. 81
9b. 1
10a. 10,000
10b. 8
Parent Tip: Review the logic above to help your child master the concept of 5th grade math exponents worksheet.
