Question
Which of the following shows the correct process of solving -4 and parentheses 3+12 super squid 0+15 super script zero by generating an equivalent expression using the zero power rule what is the answer?
Answers
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Answered by
GPT-4o mini
To solve the expression \(-4(3 + 12^{0} + 15^{0})\) using the zero power rule, we first need to evaluate the terms inside the parentheses. The zero power rule states that any non-zero number raised to the power of zero equals one, i.e., \(x^0 = 1\) for any \(x \neq 0\).
1. **Evaluate \(12^0\)**:
\[
12^0 = 1
\]
2. **Evaluate \(15^0\)**:
\[
15^0 = 1
\]
Now we can substitute these values back into the expression inside the parentheses:
\[
3 + 12^{0} + 15^{0} = 3 + 1 + 1 = 5
\]
Next, we substitute this value back into the expression:
\[
-4(3 + 12^{0} + 15^{0}) = -4(5)
\]
Finally, we calculate \(-4 \times 5\):
\[
-4 \times 5 = -20
\]
Thus, the final answer is:
\[
\boxed{-20}
\]
1. **Evaluate \(12^0\)**:
\[
12^0 = 1
\]
2. **Evaluate \(15^0\)**:
\[
15^0 = 1
\]
Now we can substitute these values back into the expression inside the parentheses:
\[
3 + 12^{0} + 15^{0} = 3 + 1 + 1 = 5
\]
Next, we substitute this value back into the expression:
\[
-4(3 + 12^{0} + 15^{0}) = -4(5)
\]
Finally, we calculate \(-4 \times 5\):
\[
-4 \times 5 = -20
\]
Thus, the final answer is:
\[
\boxed{-20}
\]
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