Exponents Worksheets for Grade 5 | Worsheets library - Free Printable

Exponents Practice Worksheet Solution

The task is to solve the given exponent problems. Let's solve each problem step by step.

---

#### Problem ①: \( 8^3 - 6^2 \)

1. Calculate \( 8^3 \):
\[
8^3 = 8 \times 8 \times 8 = 512
\]

2. Calculate \( 6^2 \):
\[
6^2 = 6 \times 6 = 36
\]

3. Subtract:
\[
8^3 - 6^2 = 512 - 36 = 476
\]

Answer: \( 476 \)

---

#### Problem ②: \( 6^4 + 4^4 \)

1. Calculate \( 6^4 \):
\[
6^4 = 6 \times 6 \times 6 \times 6 = 1296
\]

2. Calculate \( 4^4 \):
\[
4^4 = 4 \times 4 \times 4 \times 4 = 256
\]

3. Add:
\[
6^4 + 4^4 = 1296 + 256 = 1552
\]

Answer: \( 1552 \)

---

#### Problem ③: \( 10^2 - 3^3 \)

1. Calculate \( 10^2 \):
\[
10^2 = 10 \times 10 = 100
\]

2. Calculate \( 3^3 \):
\[
3^3 = 3 \times 3 \times 3 = 27
\]

3. Subtract:
\[
10^2 - 3^3 = 100 - 27 = 73
\]

Answer: \( 73 \)

---

#### Problem ④: \( 1^0 - 1^{100} \)

1. Calculate \( 1^0 \):
\[
1^0 = 1
\]

2. Calculate \( 1^{100} \):
\[
1^{100} = 1
\]

3. Subtract:
\[
1^0 - 1^{100} = 1 - 1 = 0
\]

Answer: \( 0 \)

---

#### Problem ⑤: \( 0^8 - 1^{20} \)

1. Calculate \( 0^8 \):
\[
0^8 = 0
\]

2. Calculate \( 1^{20} \):
\[
1^{20} = 1
\]

3. Subtract:
\[
0^8 - 1^{20} = 0 - 1 = -1
\]

Answer: \( -1 \)

---

#### Problem ⑥: \( 99^1 + 10^2 \)

1. Calculate \( 99^1 \):
\[
99^1 = 99
\]

2. Calculate \( 10^2 \):
\[
10^2 = 10 \times 10 = 100
\]

3. Add:
\[
99^1 + 10^2 = 99 + 100 = 199
\]

Answer: \( 199 \)

---

#### Problem ⑦: \( 6^2 - 20^1 \)

1. Calculate \( 6^2 \):
\[
6^2 = 6 \times 6 = 36
\]

2. Calculate \( 20^1 \):
\[
20^1 = 20
\]

3. Subtract:
\[
6^2 - 20^1 = 36 - 20 = 16
\]

Answer: \( 16 \)

---

#### Problem ⑧: \( 5^4 - 2^4 \)

1. Calculate \( 5^4 \):
\[
5^4 = 5 \times 5 \times 5 \times 5 = 625
\]

2. Calculate \( 2^4 \):
\[
2^4 = 2 \times 2 \times 2 \times 2 = 16
\]

3. Subtract:
\[
5^4 - 2^4 = 625 - 16 = 609
\]

Answer: \( 609 \)

---

#### Problem ⑨: \( 8^3 - 2^2 \)

1. Calculate \( 8^3 \):
\[
8^3 = 8 \times 8 \times 8 = 512
\]

2. Calculate \( 2^2 \):
\[
2^2 = 2 \times 2 = 4
\]

3. Subtract:
\[
8^3 - 2^2 = 512 - 4 = 508
\]

Answer: \( 508 \)

---

#### Problem ⑩: \( 7^2 - 22^0 \)

1. Calculate \( 7^2 \):
\[
7^2 = 7 \times 7 = 49
\]

2. Calculate \( 22^0 \):
\[
22^0 = 1
\]

3. Subtract:
\[
7^2 - 22^0 = 49 - 1 = 48
\]

Answer: \( 48 \)

---

#### Problem ⑪: \( 4^4 - 0^{10} \)

1. Calculate \( 4^4 \):
\[
4^4 = 4 \times 4 \times 4 \times 4 = 256
\]

2. Calculate \( 0^{10} \):
\[
0^{10} = 0
\]

3. Subtract:
\[
4^4 - 0^{10} = 256 - 0 = 256
\]

Answer: \( 256 \)

---

#### Problem ⑫: \( 2^6 + 2^4 \)

1. Calculate \( 2^6 \):
\[
2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64
\]

2. Calculate \( 2^4 \):
\[
2^4 = 2 \times 2 \times 2 \times 2 = 16
\]

3. Add:
\[
2^6 + 2^4 = 64 + 16 = 80
\]

Answer: \( 80 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
① & 476 \\
② & 1552 \\
③ & 73 \\
④ & 0 \\
⑤ & -1 \\
⑥ & 199 \\
⑦ & 16 \\
⑧ & 609 \\
⑨ & 508 \\
⑩ & 48 \\
⑪ & 256 \\
⑫ & 80 \\
\end{array}
}
\]