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Evaluate : 7^(4)...

Evaluate :
` 7^(4)`

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The correct Answer is:
To evaluate \( 7^4 \), we need to multiply the base (which is 7) by itself for the number of times indicated by the exponent (which is 4). Here’s how we can do it step by step: ### Step-by-Step Solution: 1. **Write the expression**: \[ 7^4 = 7 \times 7 \times 7 \times 7 \] 2. **Calculate the first two multiplications**: \[ 7 \times 7 = 49 \] 3. **Multiply the result by the next 7**: \[ 49 \times 7 = 343 \] 4. **Multiply the result by the last 7**: \[ 343 \times 7 \] To perform this multiplication: - Break it down: - \( 343 \times 7 = 343 \times (7) \) - \( 343 \times 7 = 2401 \) 5. **Final result**: \[ 7^4 = 2401 \] ### Final Answer: \[ 7^4 = 2401 \]
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