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Evaluate the expression when a = -2 and c = -8. |a^2c| equals what?

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3 votes

Final answer:

To evaluate the expression |a^2c| when a = -2 and c = -8, substitute the values of a and c into the expression. The result is 32.

Step-by-step explanation:

To evaluate the expression |a^2c| when a = -2 and c = -8, we substitute the values of a and c into the expression.

|a^2c| = |-2^2 (-8)|

= |4 (-8)|

= |-32|

= 32

User Mercator
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8.6k points
6 votes

Final answer:

The expression |a^2c|, when a = -2 and c = -8, evaluates to 32 after squaring a, multiplying by c, and taking the absolute value.

Step-by-step explanation:

The student wants to evaluate the expression |a^2c| with given values a = -2 and c = -8. To solve this, we'll first square 'a' and then multiply it by 'c'. After calculating the result, we apply the absolute value function.

  • First, we calculate a^2: (-2)^2 = 4.
  • Next, we multiply this by 'c': 4 * (-8) = -32.
  • Finally, we apply the absolute value: |-32| = 32.

Thus, the evaluated expression |a^2c| with the given values is 32.

User Aspirant
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