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Simplify 102 - 82 + 2 and 18 / 6 + 52.

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2 parts
c

38\text{38}

d

28\text{28}

Step-by-step solution

8 steps

Here are the solutions for the expressions:

Part c· 4 steps

Simplify 102−82+210^2 - 8^2 + 2.

  1. Evaluate the exponents.

    102=10010^2 = 100 82=648^2 = 64

  2. Substitute the values back into the expression.

    100−64+2100 - 64 + 2

  3. Perform the subtraction.

    100−64=36100 - 64 = 36

  4. Perform the addition.

    36+2=3836 + 2 = 38

    The simplified expression is:

    38\boxed{\text{38}}

Part d

28\text{28}

Simplify 18÷6+5218 \div 6 + 5^2.

  1. Evaluate the exponent.

    52=255^2 = 25

  2. Substitute the value back into the expression.

    18÷6+2518 \div 6 + 25

  3. Perform the division.

    18÷6=318 \div 6 = 3

  4. Perform the addition.

    3+25=283 + 25 = 28

    The simplified expression is:

    28\boxed{\text{28}}
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