Which expression has the greatest value?
√8⁴
16³
√16²
√64²
Which expression has the greatest value?
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Let’s evaluate each expression one by one:
1. √8⁴:
– This can be written as (8²)² = 64. So, √8⁴ = 8² = 64.
2. 16³:
– 16³ = 16 × 16 × 16 = 4096.
3. √16²:
– This simplifies to 16, because √(16²) = 16.
4. √64²:
– This also simplifies to 64, because √(64²) = 64.
Now, let’s compare the values:
– √8⁴ = 64
– 16³ = 4096
– √16² = 16
– √64² = 64
The expression with the greatest value is 16³, which equals 4096.
Feel free to ask if you have further questions or need more help!