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

Question

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Answer 1

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 2

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

Answer 3

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 4

It's wrong again😀

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!