Exponent Experts Only (Introducing Exponents) | Printable Number ... - Free Printable

Let’s solve this step by step.

We are given a crossword-style puzzle where each clue is an exponent problem (like 7⁴, 10³, etc.), and we need to write the answer in the grid — one digit per square. The first two answers are already filled in as examples:
- 7⁴ = 2401 → goes across starting at position “2”
- 10³ = 1000 → goes down starting at position “6”

We’ll calculate each power carefully, then fit them into the grid based on how many digits they have and where they intersect.

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First, let’s list all the problems and compute their values:

Across clues (left to right):

1. 7⁴ → 7 × 7 × 7 × 7
7×7=49; 49×7=343; 343×7=2401 ✔ (already given)

2. 4² → 4×4 = 16

3. 5³ → 5×5×5 = 25×5 = 125

4. 10² → 10×10 = 100

5. 8² → 8×8 = 64

6. 9² → 9×9 = 81

7. 3⁴ → 3×3×3×3 = 9×9 = 81

8. 2⁵ → 2×2×2×2×2 = 4×4×2 = 16×2 = 32

Wait — actually, looking at the layout, some of these might be Down clues. Let me reorganize based on the grid positions shown.

Actually, from the image description (even though I can’t see it), the user says:

> Fill the product and write the answer in the puzzle. Each digit can occupy only one place to make the whole puzzle fit together perfectly. The first one has been done for you.

And lists:

Across:
- 7⁴ = 2401 (given)
- 4² = ?
- 5³ = ?
- 10² = ?
- 8² = ?
- 9² = ?
- 3⁴ = ?
- 2⁵ = ?

Down:
- 10³ = 1000 (given)
- 12² = ?
- 6³ = ?
- 11² = ?
- 4³ = ?
- 3³ = ?
- 5² = ?
- 7³ = ?

But wait — there are only 8 Across and 8 Down? Actually, looking at typical such puzzles, the numbering matches the starting squares.

From standard interpretation of such worksheets:

The Across clues start at numbered boxes going left to right.

The Down clues start at numbered boxes going top to bottom.

Given that 7⁴ starts at box “2” (Across) and 10³ starts at box “6” (Down), we can map:

Let’s assume the grid looks like this (based on common layouts):

Box numbers indicate start of word.

So:

Across:
- #2: 7⁴ = 2401 (4 digits)
- #4: 4² = 16 (2 digits)
- #5: 5³ = 125 (3 digits)
- #7: 10² = 100 (3 digits)
- #8: 8² = 64 (2 digits)
- #9: 9² = 81 (2 digits)
- #10: 3⁴ = 81 (2 digits)
- #11: 2⁵ = 32 (2 digits)

Down:
- #6: 10³ = 1000 (4 digits)
- #1: 12² = 144 (3 digits)
- #3: 6³ = 216 (3 digits)
- #12: 11² = 121 (3 digits)
- #13: 4³ = 64 (2 digits)
- #14: 3³ = 27 (2 digits)
- #15: 5² = 25 (2 digits)
- #16: 7³ = 343 (3 digits)

Wait — but the original problem lists:

In the image text:

“Fill the product and write the answer in the puzzle... The first one has been done for you.”

Then lists:

Left column (probably Across):
7⁴ = 2401
4² = ___
5³ = ___
10² = ___
8² = ___
9² = ___
3⁴ = ___
2⁵ = ___

Right column (probably Down):
10³ = 1000
12² = ___
6³ = ___
11² = ___
4³ = ___
3³ = ___
5² = ___
7³ = ___

So total 8 Across + 8 Down = 16 clues.

Now, let’s compute each one accurately:

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Compute all powers:

Across:

1. 7⁴ = 2401 ✔ (given)

2. 4² = 4 × 4 = 16

3. 5³ = 5 × 5 × 5 = 25 × 5 = 125

4. 10² = 10 × 10 = 100

5. 8² = 8 × 8 = 64

6. 9² = 9 × 9 = 81

7. 3⁴ = 3 × 3 × 3 × 3 = 9 × 9 = 81

8. 2⁵ = 2 × 2 × 2 × 2 × 2 = 4 × 4 × 2 = 16 × 2 = 32

Down:

1. 10³ = 10 × 10 × 10 = 1000 ✔ (given)

2. 12² = 12 × 12 = 144

3. 6³ = 6 × 6 × 6 = 36 × 6 = 216

4. 11² = 11 × 11 = 121

5. 4³ = 4 × 4 × 4 = 16 × 4 = 64

6. 3³ = 3 × 3 × 3 = 9 × 3 = 27

7. 5² = 5 × 5 = 25

8. 7³ = 7 × 7 × 7 = 49 × 7 = 343

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Now, we must place these into the grid so that intersecting letters match.

Since we don’t have the actual grid diagram, but the worksheet is standard, and the first two are placed:

- 7⁴ = 2401 starts at Across #2 → probably row 1, columns 2-5

- 10³ = 1000 starts at Down #6 → probably column 6, rows 1-4

Assuming a typical 10x10 grid or similar, but since the student just needs to fill in the blanks with correct values, and the instruction says “write the answer in the puzzle”, meaning fill in the blank lines next to each expression.

Looking back at the user’s image description:

It says:

“Fill the product and write the answer in the puzzle. Each digit can occupy only one place to make the whole puzzle fit together perfectly. The first one has been done for you.”

Then shows:

Left side (Across clues):

7⁴ = 2401
4² = _____
5³ = _____
10² = _____
8² = _____
9² = _____
3⁴ = _____
2⁵ = _____

Right side (Down clues):

10³ = 1000
12² = _____
6³ = _____
11² = _____
4³ = _____
3³ = _____
5² = _____
7³ = _____

So likely, the student is expected to simply compute and write the numerical answer next to each expression — not necessarily draw the grid, unless specified. But the phrase “write the answer in the puzzle” suggests filling the crossword grid.

However, since no grid is provided here, and the user wants us to solve the problem, the most reasonable interpretation is: compute each exponential expression and provide the numeric value.

Moreover, in many such worksheets, even if there's a grid, the main task is to compute the powers correctly, and the grid is just for fun/verification.

Given that, and to avoid overcomplicating without the visual grid, I will provide the computed values for each.

But let’s double-check calculations once more for accuracy:

✔ 4² = 16
✔ 5³ = 125
✔ 10² = 100
✔ 8² = 64
✔ 9² = 81
✔ 3⁴ = 81
✔ 2⁵ = 32

✔ 12² = 144
✔ 6³ = 216
✔ 11² = 121
✔ 4³ = 64
✔ 3³ = 27
✔ 5² = 25
✔ 7³ = 343

All correct.

If we were to place them in a grid, intersections would need to match — for example, if Across #4 (4²=16) crosses Down #1 (12²=144), then the second digit of 16 (which is 6) should equal the third digit of 144 (which is 4)? That doesn’t match — so my assumption about which clue goes where may be wrong.

Alternatively, perhaps the numbering corresponds to the starting square in the grid, and we need to deduce placement.

But without the actual grid image, it’s impossible to know exact positions.

However, looking at the original problem statement again:

> Use the clues in the puzzle to fit your answers in the correct spaces.

And the first one is done: 7⁴ = 2401 is written in the grid starting at position 2 (Across).

Similarly, 10³ = 1000 is written starting at position 6 (Down).

In standard crossword notation, position numbers are assigned to the first letter of each word.

So let’s try to reconstruct minimally.

Assume the grid has:

- Across 2: 7⁴ = 2401 → 4 letters → occupies 4 squares horizontally starting at square 2.

- Down 6: 10³ = 1000 → 4 letters → occupies 4 squares vertically starting at square 6.

Square 6 is likely below square 2 or adjacent.

For example, if square 2 is at row 1, col 2, then square 6 might be at row 1, col 6 — so Down 6 starts at (1,6) and goes down.

Then Across 2 is at (1,2) to (1,5): digits 2,4,0,1

Down 6 is at (1,6) to (4,6): digits 1,0,0,0

No overlap yet.

Other clues:

Across 4: 4² = 16 → 2 digits → starts at square 4. If square 4 is at (1,4), then it would be digits at (1,4)=1, (1,5)=6 — but (1,4) is already 0 from 2401? Conflict.

2401 at positions 2,3,4,5 → so pos2=2, pos3=4, pos4=0, pos5=1

If Across 4 starts at pos4, and is 16, then pos4=1, but it’s already 0 → conflict.

Therefore, Across 4 cannot start at pos4 if pos4 is part of Across 2.

This suggests that the numbering is not sequential in row-major order, but rather each number indicates a unique starting cell.

Perhaps square 4 is elsewhere.

To resolve this properly, we’d need the grid.

But since this is a homework help scenario, and the primary goal is to compute the exponents, and the grid is secondary (and often used for verification), I think the expected answer is to provide the numerical results for each expression.

Moreover, in the "Final Answer" section, we can list them as requested.

Alternatively, perhaps the puzzle is designed so that when you compute correctly, the digits fit — but without the grid, we can't verify intersections.

Given the constraints, I will provide the computed values for each clue as the solution.

So, compiling:

Across Answers:

- 7⁴ = 2401 (given)

- 4² = 16

- 5³ = 125

- 10² = 100

- 8² = 64

- 9² = 81

- 3⁴ = 81

- 2⁵ = 32

Down Answers:

- 10³ = 1000 (given)

- 12² = 144

- 6³ = 216

- 11² = 121

- 4³ = 64

- 3³ = 27

- 5² = 25

- 7³ = 343

These are all correct mathematically.

If the grid requires specific placements, the student would use these numbers to fill in, ensuring overlapping digits match — but since we can't see the grid, providing the values is sufficient.

Final Answer:
Across: 4² = 16, 5³ = 125, 10² = 100, 8² = 64, 9² = 81, 3⁴ = 81, 2⁵ = 32
Down: 12² = 144, 6³ = 216, 11² = 121, 4³ = 64, 3³ = 27, 5² = 25, 7³ = 343