Let’s solve each problem step by step.
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Part 1: Rewrite the exponent using repeated multiplication and solve.
We are given examples like:
2³ = 2 × 2 × 2 = 8
3² = 3 × 3 = 9
So we do the same for each:
1) 4² = 4 × 4 =
16
2) 2⁵ = 2 × 2 × 2 × 2 × 2 = 4 × 2 = 8; 8 × 2 = 16; 16 × 2 =
32
3) 3³ = 3 × 3 × 3 = 9 × 3 =
27
4) 5⁴ = 5 × 5 × 5 × 5 = 25 × 5 = 125; 125 × 5 =
625
5) 7² = 7 × 7 =
49
6) 8³ = 8 × 8 × 8 = 64 × 8 =
512
7) 4⁶ → Let’s break it down:
4² = 16
4³ = 16 × 4 = 64
4⁴ = 64 × 4 = 256
4⁵ = 256 × 4 = 1024
4⁶ = 1024 × 4 =
4096
8) 10⁵ = 10 × 10 × 10 × 10 × 10 =
100,000 (just add 5 zeros!)
9) 12² = 12 × 12 =
144
10) 6⁴ = 6 × 6 × 6 × 6 = 36 × 6 = 216; 216 × 6 =
1296
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Part 2: Rewrite the expressions using exponents.
Example: 5 × 5 = 5²
We count how many times a number is multiplied by itself.
11) 8 × 8 × 8 → three 8s →
8³
12) 7 × 7 × 7 × 7 → four 7s →
7⁴
13) 6 × 6 × 6 × 6 × 6 → five 6s →
6⁵
14) 5 × 5 × 5 → three 5s →
5³
15) 2 × 2 × 2 × 2 → four 2s →
2⁴
16) 10 × 10 → two 10s →
10²
17) 6 × 6 × 6 × 6 × 6 → five 6s →
6⁵
18) 3 × 3 × 3 × 3 → four 3s →
3⁴
19) 4 × 4 × 4 → three 4s →
4³
20) 7 × 7 × 7 × 7 × 7 → five 7s →
7⁵
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Final Answer:
Part 1 Answers:
1) 16
2) 32
3) 27
4) 625
5) 49
6) 512
7) 4096
8) 100000
9) 144
10) 1296
Part 2 Answers:
11) 8³
12) 7⁴
13) 6⁵
14) 5³
15) 2⁴
16) 10²
17) 6⁵
18) 3⁴
19) 4³
20) 7⁵
Parent Tip: Review the logic above to help your child master the concept of 5th grade math exponents worksheet.