Sure, let's break this down:
Expression 1: (2^4 - 6)^2
Step 1: First, we compute the value of 2 to the power of 4, which is 16.
Step 2: Then subtract 6 from 16. It gives us 10.
Step 3: Finally, we square 10 (which means multiplying 10 by itself) and get 100.
So, the result for the first expression is 100.
Expression 2: (3^3 - 4) + 5^2
Step 1: Compute the value of 3 to the power of 3. It gives us 27.
Step 2: From that, subtract 4. This gives us 23.
Step 3: Now, calculate 5 to the power of 2. It means multiply 5 by itself, so we get 25.
Step 4: Add 23 (from step 2) and 25 (from step 3). The result is 48.
Hence, the result for the second expression is 48.
In summary, the results for given expressions (2^4 - 6)^2 and (3^3 - 4) + 5^2 are 100 and 48 respectively.