Let’s solve each exponent problem one by one. Remember, an exponent like \( a^b \) means you multiply the base \( a \) by itself \( b \) times.
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1. \( 2^5 \)
That’s \( 2 × 2 × 2 × 2 × 2 \)
= \( 4 × 2 = 8 \), then \( 8 × 2 = 16 \), then \( 16 × 2 = 32 \)
✔ Answer:
32
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2. \( 5^3 \)
That’s \( 5 × 5 × 5 \)
= \( 25 × 5 = 125 \)
✔ Answer:
125
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3. \( 9^1 \)
Any number to the power of 1 is just itself.
✔ Answer:
9
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4. \( 2^6 \)
That’s \( 2 × 2 × 2 × 2 × 2 × 2 \)
We know \( 2^5 = 32 \), so \( 32 × 2 = 64 \)
✔ Answer:
64
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5. \( 3^3 \)
That’s \( 3 × 3 × 3 \)
= \( 9 × 3 = 27 \)
✔ Answer:
27
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6. \( 8^4 \)
That’s \( 8 × 8 × 8 × 8 \)
First: \( 8 × 8 = 64 \)
Then: \( 64 × 8 = 512 \)
Then: \( 512 × 8 = 4096 \)
✔ Answer:
4096
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7. \( 4^5 \)
That’s \( 4 × 4 × 4 × 4 × 4 \)
Step-by-step:
\( 4 × 4 = 16 \)
\( 16 × 4 = 64 \)
\( 64 × 4 = 256 \)
\( 256 × 4 = 1024 \)
✔ Answer:
1024
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8. \( 7^5 \)
That’s \( 7 × 7 × 7 × 7 × 7 \)
Step-by-step:
\( 7 × 7 = 49 \)
\( 49 × 7 = 343 \)
\( 343 × 7 = 2401 \)
\( 2401 × 7 = 16807 \)
✔ Answer:
16807
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9. \( 2^8 \)
We know \( 2^6 = 64 \), so:
\( 2^7 = 64 × 2 = 128 \)
\( 2^8 = 128 × 2 = 256 \)
✔ Answer:
256
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10. \( 6^4 \)
That’s \( 6 × 6 × 6 × 6 \)
Step-by-step:
\( 6 × 6 = 36 \)
\( 36 × 6 = 216 \)
\( 216 × 6 = 1296 \)
✔ Answer:
1296
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Final Answer:
1. 32
2. 125
3. 9
4. 64
5. 27
6. 4096
7. 1024
8. 16807
9. 256
10. 1296
Parent Tip: Review the logic above to help your child master the concept of exponents coloring worksheet.