Question

Which of the following shows the correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule?

Answer 1

To solve the expression \(-4(3+12^0)+15^0\) using the Zero Power Rule, we will first apply the rule that states any non-zero number raised to the power of zero is equal to 1. Let's break it down step by step:

1. Identify the terms with zero exponents:
- \(12^0\) and \(15^0\).

2. Apply the Zero Power Rule:
- \(12^0 = 1\)
- \(15^0 = 1\)

3. Substitute these values back into the original expression:
\[
-4(3 + 1) + 1
\]

4. Simplify inside the parentheses:
\[
-4(4) + 1
\]

5. Multiply:
\[
-16 + 1
\]

6. Finally, compute the result:
\[
-15
\]

So, the final answer is \(-15\), and the process used the Zero Power Rule correctly to simplify the expression.