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

Question

.(1 point)

Answer 1

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 2

wrong

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:

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

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