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Answer :
To solve the problem of finding the value of [tex]\((-16)^2\)[/tex], we need to understand what squaring a number means:
1. Squaring a Number: When you square a number, you multiply that number by itself. So, [tex]\((-16)^2\)[/tex] means [tex]\(-16 \times -16\)[/tex].
2. Perform the Multiplication:
- Multiplying two negative numbers together results in a positive number. This is because a negative times a negative equals a positive.
- Thus, [tex]\(-16 \times -16 = 256\)[/tex].
3. Conclusion: The value of [tex]\((-16)^2\)[/tex] is 256.
Therefore, the correct answer is:
c. 256
1. Squaring a Number: When you square a number, you multiply that number by itself. So, [tex]\((-16)^2\)[/tex] means [tex]\(-16 \times -16\)[/tex].
2. Perform the Multiplication:
- Multiplying two negative numbers together results in a positive number. This is because a negative times a negative equals a positive.
- Thus, [tex]\(-16 \times -16 = 256\)[/tex].
3. Conclusion: The value of [tex]\((-16)^2\)[/tex] is 256.
Therefore, the correct answer is:
c. 256
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