Answer :
Let's evaluate each expression to see if it is equivalent to 256:
1. \( 2^8 \):
- Calculating \( 2^8 \), we get \( 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 256 \).
- So, \( 2^8 = 256 \).
2. \( 4^4 \):
- Calculating \( 4^4 \), we get \( 4 \times 4 \times 4 \times 4 = 256 \).
- So, \( 4^4 = 256 \).
3. \( 16^2 \):
- Calculating \( 16^2 \), we get \( 16 \times 16 = 256 \).
- So, \( 16^2 = 256 \).
4. \( 128^2 \):
- Calculating \( 128^2 \), we get \( 128 \times 128 = 16384 \).
- So, \( 128^2 = 16384 \), which is not equivalent to 256.
Based on these calculations:
- \( 2^8 \), \( 4^4 \), and \( 16^2 \) are all equivalent to 256.
- [tex]\( 128^2 \)[/tex] is not equivalent to 256.
1. \( 2^8 \):
- Calculating \( 2^8 \), we get \( 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 256 \).
- So, \( 2^8 = 256 \).
2. \( 4^4 \):
- Calculating \( 4^4 \), we get \( 4 \times 4 \times 4 \times 4 = 256 \).
- So, \( 4^4 = 256 \).
3. \( 16^2 \):
- Calculating \( 16^2 \), we get \( 16 \times 16 = 256 \).
- So, \( 16^2 = 256 \).
4. \( 128^2 \):
- Calculating \( 128^2 \), we get \( 128 \times 128 = 16384 \).
- So, \( 128^2 = 16384 \), which is not equivalent to 256.
Based on these calculations:
- \( 2^8 \), \( 4^4 \), and \( 16^2 \) are all equivalent to 256.
- [tex]\( 128^2 \)[/tex] is not equivalent to 256.
