Find the values of :-
(i)`2^(4)`
(ii)`4^(3)`
(iii)`3^(2)`
(iv)`5^(3)`
(v)`9^(4)`
(vi)`7^(3)`

Answer

To solve the given question, we will calculate the values of the following expressions step by step:

### (i) Calculate \(2^4\)
1. **Definition**: \(2^4\) means multiplying 2 by itself 4 times.
2. **Calculation**:
\[ 2^4 = 2 \times 2 \times 2 \times 2 \]
- First, calculate \(2 \times 2 = 4\)
- Next, calculate \(4 \times 2 = 8\)
- Finally, calculate \(8 \times 2 = 16\)
3. **Result**:
\[ 2^4 = 16 \]

### (ii) Calculate \(4^3\)
1. **Definition**: \(4^3\) means multiplying 4 by itself 3 times.
2. **Calculation**:
\[ 4^3 = 4 \times 4 \times 4 \]
- First, calculate \(4 \times 4 = 16\)
- Next, calculate \(16 \times 4 = 64\)
3. **Result**:
\[ 4^3 = 64 \]

### (iii) Calculate \(3^2\)
1. **Definition**: \(3^2\) means multiplying 3 by itself 2 times.
2. **Calculation**:
\[ 3^2 = 3 \times 3 \]
- Calculate \(3 \times 3 = 9\)
3. **Result**:
\[ 3^2 = 9 \]

### (iv) Calculate \(5^3\)
1. **Definition**: \(5^3\) means multiplying 5 by itself 3 times.
2. **Calculation**:
\[ 5^3 = 5 \times 5 \times 5 \]
- First, calculate \(5 \times 5 = 25\)
- Next, calculate \(25 \times 5 = 125\)
3. **Result**:
\[ 5^3 = 125 \]

### (v) Calculate \(9^4\)
1. **Definition**: \(9^4\) means multiplying 9 by itself 4 times.
2. **Calculation**:
\[ 9^4 = 9 \times 9 \times 9 \times 9 \]
- First, calculate \(9 \times 9 = 81\)
- Next, calculate \(81 \times 9 = 729\)
- Finally, calculate \(729 \times 9 = 6561\)
3. **Result**:
\[ 9^4 = 6561 \]

### (vi) Calculate \(7^3\)
1. **Definition**: \(7^3\) means multiplying 7 by itself 3 times.
2. **Calculation**:
\[ 7^3 = 7 \times 7 \times 7 \]
- First, calculate \(7 \times 7 = 49\)
- Next, calculate \(49 \times 7 = 343\)
3. **Result**:
\[ 7^3 = 343 \]

### Final Results
- \(2^4 = 16\)
- \(4^3 = 64\)
- \(3^2 = 9\)
- \(5^3 = 125\)
- \(9^4 = 6561\)
- \(7^3 = 343\)