Solve the following :-
(i)`2+4-9`
(ii)`3+6-10`
(iii)`12-5-3`
(iv)`100-50+40`
(v)`5^(3)-3^(4)-2^(2)`
(vi)`6^(4)+2^(2)-8^(3)`

Answer

Let's solve each of the equations step by step.

### (i) \(2 + 4 - 9\)

1. **Add the first two numbers**:
\[ 2 + 4 = 6 \]

2. **Subtract the third number**:
\[ 6 - 9 = -3 \]

**Final Answer**: \(-3\)

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### (ii) \(3 + 6 - 10\)

1. **Add the first two numbers**:
\[ 3 + 6 = 9 \]

2. **Subtract the third number**:
\[ 9 - 10 = -1 \]

**Final Answer**: \(-1\)

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### (iii) \(12 - 5 - 3\)

1. **Subtract the second number from the first**:
\[ 12 - 5 = 7 \]

2. **Subtract the third number**:
\[ 7 - 3 = 4 \]

**Final Answer**: \(4\)

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### (iv) \(100 - 50 + 40\)

1. **Subtract the second number from the first**:
\[ 100 - 50 = 50 \]

2. **Add the third number**:
\[ 50 + 40 = 90 \]

**Final Answer**: \(90\)

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### (v) \(5^3 - 3^4 - 2^2\)

1. **Calculate \(5^3\)**:
\[ 5^3 = 125 \]

2. **Calculate \(3^4\)**:
\[ 3^4 = 81 \]

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

4. **Combine the results**:
\[ 125 - 81 - 4 = 125 - 85 = 40 \]

**Final Answer**: \(40\)

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### (vi) \(6^4 + 2^2 - 8^3\)

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

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

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

4. **Combine the results**:
\[ 1296 + 4 - 512 = 1300 - 512 = 788 \]

**Final Answer**: \(788\)

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