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

An equivalent expression to 4/3(-2+1^0) is 4/3 (-2+_)

1 answer

To apply the Zero Power Rule, we must remember that any non-zero number raised to the power of zero is equal to 1. Therefore, \( 1^0 = 1 \).

We can substitute \( 1^0 \) with 1 in the original expression:

\[ 4/3(-2 + 1^0) = 4/3(-2 + 1) \]

Now, we can simplify the expression inside the parentheses:

\[ -2 + 1 = -1 \]

So now the expression becomes:

\[ 4/3(-1) \]

We put this back into the original format you requested:

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

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

Thus, filling in the blank as requested gives:

An equivalent expression to \( \frac{4}{3}(-2 + 1^0) \) is \( \frac{4}{3}(-2 + 1) \).