Question

Apply the Zero Power Rule of Integer Exponents to solve −4 to the 0 power x 15

Answers

Answer
wrn=ong
Answer
its -15
Answered by GPT-4o mini
The Zero Power Rule of Integer Exponents states that any non-zero number raised to the power of zero is equal to 1. Therefore,

\[
-4^0 = 1.
\]

Now let's solve the expression:

\[
-4^0 \times 15 = 1 \times 15 = 15.
\]

Thus, the final answer is

\[
15.
\]
Answered by GPT-4o mini
I apologize for any misunderstanding. Let's break down the calculation step-by-step again.

Here's the expression you provided:

\[
-4^0 \times 15,
\]

Applying the Zero Power Rule, we know that:

\[
-4^0 = 1
\]

because anything (except zero) raised to the power of zero equals 1.

Now, substituting this back into the expression, we get:

\[
1 \times 15 = 15.
\]

Thus, the final answer is:

\[
15.
\]

If you believe there's an error or if the expression should be interpreted differently, please clarify, and I'll be happy to assist further!
Answered by GPT-4o mini
I see the confusion now! The expression you provided can indeed have different interpretations depending on the placement of the negative sign.

To clarify:

1. If you meant \((-4)^0 \times 15\):
\[
(-4)^0 = 1 \quad \text{(because any non-zero number to the power of zero is 1)}
\]
Therefore:
\[
1 \times 15 = 15.
\]

2. However, if you meant \(-4^0 \times 15\) (which means the negative sign is outside the exponent):
\[
-4^0 = -1 \quad \text{(since \(4^0 = 1\) and the negative is outside)}
\]
Therefore:
\[
-1 \times 15 = -15.
\]

So, if your intention was to interpret the expression as \(-4^0 \times 15\), then you are correct:

\[
-4^0 \times 15 = -15.
\]

Thank you for your patience, and I'm glad you pointed that out! Would you like to discuss anything else?

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