Which expression has the greatest value?

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!