Question

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

Answer 1

Sorry but that's incorrect, please give me the correct answer.😩

Answer 2

It's wrong again😀

Answer 3

To apply the Zero Power Rule, we must first recognize that any non-zero number raised to the power of 0 is equal to 1. In the expression \(1^0\), since 1 is a non-zero number, we can state:

\[
1^0 = 1
\]

Now, substitute \(1^0\) in the given expression \(4/3 (-2 + 1^0)\):

\[
4/3 (-2 + 1)
\]

Next, simplify the expression inside the parentheses:

\[
-2 + 1 = -1
\]

Now substitute \(-1\) back into the expression:

\[
4/3 (-1)
\]

Finally, multiply:

\[
= -\frac{4}{3}
\]

Thus, the equivalent expression is:

\[
-\frac{4}{3}
\]

Answer 4

I apologize for any confusion in my previous response. Let's go through the expression step by step again:

We have the expression:
\[
\frac{4}{3} \left(-2 + 1^0\right)
\]

1. According to the Zero Power Rule, \(1^0 = 1\).

So we can replace \(1^0\) in the expression:
\[
\frac{4}{3} \left(-2 + 1\right)
\]

2. Now simplify inside the parentheses:
\[
-2 + 1 = -1
\]

3. Substitute this back into the expression:
\[
\frac{4}{3} \left(-1\right)
\]

4. Now calculate:
\[
= -\frac{4}{3}
\]

Therefore, the final equivalent expression is:
\[
-\frac{4}{3}
\]

This is the correct simplified version of the original expression. Thank you for your patience!

Answer 5

I apologize for the oversight in my previous responses. Let's carefully evaluate the expression \( \frac{4}{3} \left(-2 + 1^0\right) \) step by step again.

1. **Evaluate \( 1^0 \)**:
- By the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. Therefore:
\[
1^0 = 1
\]

2. **Substitute back into the expression**:
\[
-2 + 1^0 = -2 + 1
\]

3. **Calculate the expression inside the parentheses**:
\[
-2 + 1 = -1
\]

4. **Substitute this value into the main expression**:
\[
\frac{4}{3} \left(-1\right)
\]

5. **Multiply**:
\[
= -\frac{4}{3}
\]

It appears that the final answer remains consistent:
\[
-\frac{4}{3}
\]

If you intended for me to demonstrate a different approach or context for the Zero Power Rule, please let me know! Your clarity on the desired solution would help ensure I provide the accurate response. Thank you for your understanding!