This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
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Here are the solutions for the expressions:
c) Simplify .
Step 1: Evaluate the exponents.
Step 2: Substitute the values back into the expression.
Step 3: Perform the subtraction.
Step 4: Perform the addition.
The simplified expression is:
d) Simplify .
Step 1: Evaluate the exponent.
Step 2: Substitute the value back into the expression.
Step 3: Perform the division.
Step 4: Perform the addition.
The simplified expression is:
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c) Simplify 10^2 - 8^2 + 2. Step 1: Evaluate the exponents.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.