Exponents of Whole Numbers worksheet for practicing converting exponents to standard form.

Sure! Let’s solve each exponent problem and write the answers in standard form (i.e., as regular numbers, not in exponential notation).

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🔢 Exponent Rules Reminder:

- aⁿ means “a multiplied by itself n times”
- Any number to the power of 0 is 1 (except 0⁰, which is undefined — but here we have 10⁰ = 1)
- Any number to the power of 1 is itself.

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## ✔ Solutions:

Row 1:

- 4³ = 4 × 4 × 4 = 64
- 8² = 8 × 8 = 64
- 10⁰ = 1 *(any non-zero number to the power of 0 is 1)*

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Row 2:

- 12² = 12 × 12 = 144
- 14⁴ = 14 × 14 × 14 × 14

Let’s compute step-by-step:
- 14 × 14 = 196
- 196 × 14 = 2744
- 2744 × 14 = 38,416

✔ So, 14⁴ = 38,416

- 10¹ = 10

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Row 3:

- 5⁶ = 5 × 5 × 5 × 5 × 5 × 5

Step-by-step:
- 5 × 5 = 25
- 25 × 5 = 125
- 125 × 5 = 625
- 625 × 5 = 3,125
- 3,125 × 5 = 15,625

✔ 5⁶ = 15,625

- 11⁴ = 11 × 11 × 11 × 11

- 11 × 11 = 121
- 121 × 11 = 1,331
- 1,331 × 11 = 14,641

✔ 11⁴ = 14,641

- 10² = 10 × 10 = 100

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Row 4:

- 3⁸ = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3

Compute step-by-step:
- 3² = 9
- 3⁴ = 9 × 9 = 81
- 3⁸ = 81 × 81 = 6,561

✔ 3⁸ = 6,561

- 5⁴ = 5 × 5 × 5 × 5 = 625 *(from earlier: 5⁴ = 625)*

✔ 5⁴ = 625

- 10³ = 10 × 10 × 10 = 1,000

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Row 5:

- 6⁵ = 6 × 6 × 6 × 6 × 6

Compute:
- 6² = 36
- 6³ = 36 × 6 = 216
- 6⁴ = 216 × 6 = 1,296
- 6⁵ = 1,296 × 6 = 7,776

✔ 6⁵ = 7,776

- 7⁴ = 7 × 7 × 7 × 7

- 7² = 49
- 7⁴ = 49 × 49 = 2,401

✔ 7⁴ = 2,401

- 10⁴ = 10 × 10 × 10 × 10 = 10,000

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Row 6:

- 11⁴ — already computed above: 14,641

✔ 11⁴ = 14,641

- 14² = 14 × 14 = 196

✔ 14² = 196

- 10⁵ = 10 × 10 × 10 × 10 × 10 = 100,000

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Row 7:

- 2⁹ = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Compute:
- 2¹ = 2
- 2² = 4
- 2³ = 8
- 2⁴ = 16
- 2⁵ = 32
- 2⁶ = 64
- 2⁷ = 128
- 2⁸ = 256
- 2⁹ = 512

✔ 2⁹ = 512

- 3⁶ = 3 × 3 × 3 × 3 × 3 × 3

We know 3⁴ = 81, so:
- 3⁶ = 81 × 9 = 729

✔ 3⁶ = 729

- 7⁶ = 7 × 7 × 7 × 7 × 7 × 7

We know 7⁴ = 2,401
- 7⁵ = 2,401 × 7 = 16,807
- 7⁶ = 16,807 × 7 = 117,649

✔ 7⁶ = 117,649

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## 📝 Final Answer Key:

| Expression | Standard Form |
|------------|----------------|
| 4³ | 64 |
| 8² | 64 |
| 10⁰ | 1 |
| 12² | 144 |
| 14⁴ | 38,416 |
| 10¹ | 10 |
| 5⁶ | 15,625 |
| 11⁴ | 14,641 |
| 10² | 100 |
| 3⁸ | 6,561 |
| 5⁴ | 625 |
| 10³ | 1,000 |
| 6⁵ | 7,776 |
| 7⁴ | 2,401 |
| 10⁴ | 10,000 |
| 11⁴ | 14,641 |
| 14² | 196 |
| 10⁵ | 100,000 |
| 2⁹ | 512 |
| 3⁶ | 729 |
| 7⁶ | 117,649 |

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✔ You can now fill in the worksheet with these answers!

Let me know if you’d like a printable version or explanation for any specific one.