Mathematics worksheet for practicing expanded and exponential forms.

Let’s go through each part of the worksheet step by step.

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Part 1: Rewrite each expression using exponents.

We’re turning repeated multiplication into exponential form. The base is the number being multiplied, and the exponent is how many times it appears.

a. 6 × 6 × 6 × 6 × 6 → That’s 6 multiplied 5 times → 6⁵

b. 3 × 3 × 3 × 3 → That’s 3 multiplied 4 times → 3⁴

c. 2 × 2 × 2 × 2 × 2 × 2 × 2 → That’s 2 multiplied 7 times → 2⁷

d. 9 × 9 → That’s 9 multiplied 2 times → 9²

e. 31 × 31 × 31 × 31 × 31 × 31 → That’s 31 multiplied 6 times → 31⁶

f. 14 × 14 × 14 → That’s 14 multiplied 3 times → 14³

✔ All match the examples given in the box at the top right — good check!

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Part 2: Rewrite each exponent in expanded form.

Now we’re going backward — from exponent to multiplying the base that many times.

g. 8⁴ → 8 multiplied 4 times → 8 × 8 × 8 × 8

h. 4⁹ → 4 multiplied 9 times → 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4

i. 13² → 13 multiplied 2 times → 13 × 13

j. 100⁶ → 100 multiplied 6 times → 100 × 100 × 100 × 100 × 100 × 100

✔ Matches the example format (like 5⁶ = 5×5×5×5×5×5)

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Part 3: Rewrite each exponent in standard form.

This means calculate the actual number value.

k. 5² = 5 × 5 = 25

l. 7⁴ = 7 × 7 × 7 × 7
→ 7×7=49; 49×7=343; 343×7=2401 → 2401

m. 4³ = 4 × 4 × 4
→ 4×4=16; 16×4=64 → 64

n. 9³ = 9 × 9 × 9
→ 9×9=81; 81×9=729 → 729

o. 11² = 11 × 11 = 121

p. 2⁶ = 2 × 2 × 2 × 2 × 2 × 2
→ 2×2=4; 4×2=8; 8×2=16; 16×2=32; 32×2=64 → 64

✔ Double-checked all calculations — they are correct.

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Final Answer:
a. 6⁵
b. 3⁴
c. 2⁷
d. 9²
e. 31⁶
f. 14³
g. 8 × 8 × 8 × 8
h. 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
i. 13 × 13
j. 100 × 100 × 100 × 100 × 100 × 100
k. 25
l. 2401
m. 64
n. 729
o. 121
p. 64