Consider the expression (16-12)^(2)+5 (8+2^(2)))/(5^(3)-(1+4)^(2))
. What is the simplified numerator?(1 point)
Responses
100
100
4^2+60
76
76
54
. What is the simplified numerator?(1 point)
Responses
100
100
4^2+60
76
76
54
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression given in the numerator, we can break it down step-by-step. The numerator is:
\[
(16 - 12)^2 + 5 (8 + 2^2)
\]
1. Calculate \(16 - 12\):
\[
16 - 12 = 4
\]
2. Square the result:
\[
(4)^2 = 16
\]
3. Now calculate \(2^2\):
\[
2^2 = 4
\]
4. Add this to 8:
\[
8 + 4 = 12
\]
5. Multiply by 5:
\[
5 \times 12 = 60
\]
6. Now, add the two parts together:
\[
16 + 60 = 76
\]
Thus, the simplified numerator is:
\[
\boxed{76}
\]
\[
(16 - 12)^2 + 5 (8 + 2^2)
\]
1. Calculate \(16 - 12\):
\[
16 - 12 = 4
\]
2. Square the result:
\[
(4)^2 = 16
\]
3. Now calculate \(2^2\):
\[
2^2 = 4
\]
4. Add this to 8:
\[
8 + 4 = 12
\]
5. Multiply by 5:
\[
5 \times 12 = 60
\]
6. Now, add the two parts together:
\[
16 + 60 = 76
\]
Thus, the simplified numerator is:
\[
\boxed{76}
\]
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