Exponents Practice Worksheet for students to solve exponent problems and evaluate expressions.

Let’s solve each problem step by step.

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Section 1: Work out the given exponents

$5^4 = 5 \times 5 \times 5 \times 5$
→ $5 \times 5 = 25$
→ $25 \times 5 = 125$
→ $125 \times 5 = 625$
✔ Answer: 625

② $8^2 = 8 \times 8 = 64$
✔ Answer: 64

③ $1^4 = 1 \times 1 \times 1 \times 1 = 1$
✔ Answer: 1

④ $10^3 = 10 \times 10 \times 10 = 1000$
✔ Answer: 1000

⑤ $6^3 = 6 \times 6 \times 6$
→ $6 \times 6 = 36$
→ $36 \times 6 = 216$
✔ Answer: 216

⑥ $3^3 = 3 \times 3 \times 3 = 9 \times 3 = 27$
✔ Answer: 27

⑦ $6^2 + 3^2 = ?$
→ $6^2 = 36$, $3^2 = 9$
→ So: $36 + 9 = 45$
Fill in blanks: 36 + 9 = 45
✔ Answer: 36, 9, 45

⑧ $10^2 - 5^2 = ?$
→ $10^2 = 100$, $5^2 = 25$
→ $100 - 25 = 75$
Fill in blanks: 100 - 25 = 75
✔ Answer: 100, 25, 75

⑨ $8^2 - 6^2 = ?$ → Wait! The worksheet says “+” but it should be “-” based on context? Let me check:

Looking at the image:
Problem ⑨ is written as: $8^2 - 6^2 = \_\_ + \_\_ = \_\_$ — that must be a typo in the worksheet. It should be minus, not plus. But since it says “+”, maybe it's testing if you notice? Actually, looking again — no, in the original image, problem ⑨ is:
“$8^2 - 6^2 = \_\_ + \_\_ = \_\_$” — that doesn’t make sense mathematically. Probably a printing error. But let’s assume it meant to say “= ___ - ___ = ___”.

Wait — actually, looking back at user’s uploaded text:
In the OCR or transcription, it says:
[9] 8² - 6² = __ + __ = __ ← This is likely a mistake in the worksheet layout. Because subtraction can't equal addition unless negative numbers are involved, which isn’t expected here.

But let’s look at problem ⑩: $3^3 + 6^2 = \_\_ + \_\_ = \_\_$ — that makes sense.

So probably for ⑨, it’s supposed to be:
$8^2 - 6^2 = \_\_ - \_\_ = \_\_$

I’ll go with that assumption because otherwise it’s illogical.

So:
$8^2 = 64$, $6^2 = 36$
→ $64 - 36 = 28$
Fill in: 64 - 36 = 28

But the blank says “__ + __ = __” — so maybe it’s a trick? Or misprint?

Alternatively, perhaps they want us to compute both squares and then subtract, but write them as addends? That doesn’t fit.

Wait — let me re-read the user’s input:

From the user’s text copy:

[9] 8² - 6² = __ + __ = __
[10] 3³ + 6² = __ + __ = __

This suggests that for #9, even though it’s subtraction, they’re asking to fill in the two squared values and then the result — but using “+” symbol by mistake.

That must be an error in the worksheet. Since this is for a student, I will treat it as:

For #9: Compute $8^2 - 6^2$, and fill in the two square results and the difference — ignoring the "+" sign as a typo.

So:
$8^2 = 64$, $6^2 = 36$, difference = 28
So blanks: 64, 36, 28 — even though it says “+”, we’ll put the correct numbers.

Similarly, for consistency, I’ll do the same.

Actually, let’s check problem #8:
[8] 10² - 5² = __ - __ = __ → that uses “-”, so why does #9 use “+”? Likely a typo.

To avoid confusing the student, I’ll solve it correctly and note the likely typo.

But per instructions: solve accurately.

So for #9:
If we follow literally: $8^2 - 6^2 = ?$ and then write it as __ + __ = __ — that would require negative number: 64 + (-36) = 28 — but that’s too advanced.

Better interpretation: The worksheet has a typo. For #9, it should be “__ - __ = __”

I will proceed under that assumption, as it’s the only logical way.

So:

⑨ $8^2 - 6^2 = 64 - 36 = 28$ → Fill: 64, 36, 28 (assuming the "+" is a typo)

$3^3 + 6^2 = ?$
→ $3^3 = 27$, $6^2 = 36$
→ $27 + 36 = 63$
Fill: 27, 36, 63
✔ Answer: 27, 36, 63

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Section 2: Evaluate

⑪ $6^2 - 20^1$
→ $6^2 = 36$, $20^1 = 20$
→ $36 - 20 = 16$
✔ Answer: 16

⑫ $6^2 \times 1^{101}$
→ $6^2 = 36$, $1^{101} = 1$ (any power of 1 is 1)
→ $36 \times 1 = 36$
✔ Answer: 36

⑬ $0^8 - 1^{15}$
→ $0^8 = 0$ (zero to any positive power is 0)
→ $1^{15} = 1$
→ $0 - 1 = -1$
✔ Answer: -1

⑭ $1^{13} - 9^1$
→ $1^{13} = 1$, $9^1 = 9$
→ $1 - 9 = -8$
✔ Answer: -8

⑮ $4^2 - 2^2$
→ $4^2 = 16$, $2^2 = 4$
→ $16 - 4 = 12$
✔ Answer: 12

⑯ $5^3 - 3^3$
→ $5^3 = 125$, $3^3 = 27$
→ $125 - 27 = 98$
✔ Answer: 98

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Now, compiling all answers clearly:

Final Answer:

① 625
② 64
③ 1
1000
⑤ 216
⑥ 27
⑦ 36, 9, 45
100, 25, 75
⑨ 64, 36, 28 *(note: worksheet shows "+" but should be "-")*
27, 36, 63
⑪ 16
⑫ 36
⑬ -1
⑭ -8
⑮ 12
⑯ 98