Question
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Tutor-Verified Answer
Answer
The simplified expression is 324.
Solution
First, compute 6⁴:
6 × 6 × 6 × 6 = 1,296
Then divide by 4:
1,296 ÷ 4 = 324
So, the simplified expression is 324.
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Beyond the Answer
To simplify \( \frac{6^{4}}{4} \), first calculate \( 6^{4} \). That equals \( 1296 \). Now you can simplify \( \frac{1296}{4} \), which is \( 324 \). So, \( \frac{6^{4}}{4} = 324 \). Isn't it amazing how simple arithmetic can lead to such large numbers? Just think, one moment you're dealing with small bases and exponents, and the next, you are calculating hundreds! Keep practicing, and these calculations will feel like a piece of cake!