Question

Apply the Zero Power Rule to create an equivalent expression to 43(−2+1⁰)
.(1 point)
An equivalent expression to 4/3(−2+1⁰)
is 4/3 (−2+(blank).

Answer 1

According to the Zero Power Rule, any nonzero number raised to the power of 0 equals 1. Therefore, we can simplify the expression \( 1^0 \) as follows:

\[
1^0 = 1
\]

Now applying this to the expression \( 43(-2 + 1^0) \):

\[
43(-2 + 1) = 43(-2 + 1)
\]

Next, we'll simplify \( -2 + 1 \):

\[
-2 + 1 = -1
\]

So the expression becomes:

\[
43(-1)
\]

Thus, we can write the equivalent expression as:

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

So you would fill in the blank with \( 1 \):

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