Question

Which of the following shows the correct process of solving -4 in parentheses 3+12 super script 0+15 super script zero 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 need to recognize that any non-zero number raised to the power of 0 equals 1.

Let's apply this step-by-step:

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

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

3. Now simplify the expression inside the parentheses:
\[
3 + 1 + 1 = 5
\]

4. Finally, multiply by -4:
\[
-4 \times 5 = -20
\]

Thus, the entire process can be summarized as:

1. Use the zero power rule: \(12^0 = 1\) and \(15^0 = 1\).
2. Substitute into the expression: \(-4(3 + 12^0 + 15^0) = -4(3 + 1 + 1)\).
3. Simplify: \(-4(5)\).
4. Multiply to find the result: \(-20\).

So, the final answer is \(-20\).