Question

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

)

Answer 1

To apply the Zero Power Rule, we need to recognize that any non-zero number raised to the power of 0 is equal to 1. In your expression, we have \( 1^0 \).

Calculating \( 1^0 \):

\[
1^0 = 1
\]

Now, we can substitute \( 1 \) for \( 1^0 \) in the original expression:

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

Now, simplifying the expression inside the parentheses:

\[
-2 + 1 = -1
\]

So now we have:

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

Therefore, the equivalent expression to \( \frac{4}{3}(-2 + 1^0) \) is:

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

Thus, the blank can be filled with \( 1 \).

The equivalent expression, with the zero power applied, is:

\(\frac{4}{3}(-2 + \underline{1})\).