Question

Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1 0)
.(1 point)
An equivalent expression to 4/3(−2+1 0)
is 4/3
(−2+

).

Answer 1

incorrect

Answer 2

Also incorrect.

Answer 3

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. In the expression \( 4/3(-2 + 1 \cdot 0) \), we can simplify the expression inside the parentheses.

Since \( 1 \cdot 0 = 0 \), we can rewrite the expression as:

\[
-2 + 0 = -2
\]

Now substituting this back into the expression, we have:

\[
\frac{4}{3}(-2)
\]

So an equivalent expression to \( \frac{4}{3}(-2 + 1 \cdot 0) \) is:

\[
\frac{4}{3}(-2)
\]

If you are looking for a different form, you would simply leave it as \( \frac{4}{3}(-2) \) where the \( 1 \cdot 0 \) was simplified to \( 0 \), and thus, you could write it as:

\[
\frac{4}{3}(-2 + 0)
\]

But typically, we don't include the zero in the final expression, so the most straightforward equivalent expression is:

\[
\frac{4}{3}(-2)
\]

Answer 4

I apologize for the misunderstanding in my previous response. Let's clarify the expression step by step correctly, focusing specifically on the Zero Power Rule.

1. **Identify the terms in the expression:** The expression given is \( \frac{4}{3}(-2 + 1 \cdot 0) \).

2. **Apply the Zero Power Rule**: According to the Zero Power Rule, \( 1^0 = 1 \). Note that the zero in the given expression is attached to the 1, which means \( 1^0 = 1\).

3. **Simplify the expression**: Substitute \( 1^0 \) with 1, so now the expression looks like this:
\[
\frac{4}{3}(-2 + 1)
\]

4. **Combine the terms**: Inside the parentheses:
\[
-2 + 1 = -1
\]
So, we have:
\[
\frac{4}{3}(-1)
\]

Thus, an equivalent expression to \( \frac{4}{3}(-2 + 1 \cdot 0) \) is:
\[
\frac{4}{3}(-1)
\]

If you would like to provide more specifics or if you need further assistance, I’m here to help!

Answer 5

I apologize for the confusion earlier. Let’s clarify the application of the Zero Power Rule correctly step by step:

The expression given is \( \frac{4}{3}(-2 + 1 \cdot 0) \).

1. First, identify the term \( 1 \cdot 0 \). According to the multiplication rules, this simplifies to 0.

2. Hence, we rewrite the expression as:
\[
\frac{4}{3}(-2 + 0)
\]

3. The next step is to simplify inside the parentheses:
\[
-2 + 0 = -2
\]

4. Thus, the expression simplifies to:
\[
\frac{4}{3}(-2)
\]

This is the result of simplifying your original expression.

Now, applying the Zero Power Rule correctly, if there is a zero exponent involved in your initial expression, please clarifying what the zero power applies to.

However, if we strictly look for a simplified expression replacing \(1 \cdot 0\) with \(1^0\), we note that:

- The term \(1^0\) equals 1 (as long as the base is not zero).

This means:
- Recognizing that in the context, \(1^0\) does not change the outcome inside the parentheses after applying the Zero Power Rule.

So, based on your request for clarity and correct transformation, bringing it all together:

The equivalent expression to \( \frac{4}{3}(-2 + 1^0) \) without evaluating it fully—if \(1^0\) is expressed correctly—should be:
\[
\frac{4}{3}(-2 + 1^0) \text{ which equals } \frac{4}{3}(-2 + 1) = \frac{4}{3}(-1).
\]

Thus, the simplified format will remain being \(\frac{4}{3}(-2 + 1^0)\) without taking the specific numeric outputs immediately.

Let me know if this explanation aligns with what you are looking for or if any additional clarification is needed!