a) \(2024 - 100:{2^2} = 2024 - 100:4\)

\(\begin{array}{l} = 2024 - 25\\ = 1999\end{array}\)

b) \(176 + \left( { - 256} \right) - 120 = \left( { - 80} \right) - 120\)

\( = \left( { - 80} \right) + \left( { - 120} \right) = - 200\)

c) \(\left( {2023 \cdot 2025 - 976} \right):\left( {2023 \cdot 2024 + 1047} \right)\)

\( = \left[ {2023.\left( {2024 + 1} \right) - 976} \right]:\left( {2023.2024 + 1047} \right)\)

\( = \left( {2023.2024 + 2023 - 976} \right):\left( {2023.2024 + 1047} \right)\)

\( = \left[ {2023.2024 + \left( {2023 - 976} \right)} \right]:\left( {2023.2024 + 1047} \right)\)

\( = \left( {2023.2024 + 1047} \right):\left( {2023.2024 + 1047} \right)\)

\( = 1\)

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