Question

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

Answer 1

wrong

Answer 2

To apply the Zero Power Rule in the expression \( 4/3(−2+1^0) \), we first need to evaluate \( 1^0 \).

According to the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. Therefore:

\[
1^0 = 1
\]

Now, substituting this back into the expression gives us:

\[
4/3(−2 + 1)
\]

Next, we simplify the expression inside the parentheses:

\[
−2 + 1 = -1
\]

Now the expression becomes:

\[
4/3(-1)
\]

Finally, we multiply:

\[
4/3 \times -1 = -\frac{4}{3}
\]

So, the equivalent expression is:

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

Answer 3

Let's re-evaluate the expression step by step to ensure accuracy.

We start with the expression:

\[
\frac{4}{3}(-2 + 1^0)
\]

According to the Zero Power Rule, any number (except zero) raised to the power of zero is equal to 1. Therefore:

\[
1^0 = 1
\]

Now substitute back into the expression:

\[
-2 + 1 = -1
\]

So the expression now reads:

\[
\frac{4}{3}(-1)
\]

Calculating this gives:

\[
\frac{4}{3} \times -1 = -\frac{4}{3}
\]

The equivalent expression remains:

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

If there was a misunderstanding or if you were looking for a different approach or conceptual explanation, please let me know!