Apply the Zero Power Rule to create an equivalent expression to 43(−2+10)

Question

.(1 point)
An equivalent expression to 4/3(−2+1^0) is 4/3 (−2+ blank ).

Answer 1

To apply the Zero Power Rule, we need to remember that any non-zero number raised to the power of 0 equals 1.

Thus, \(1^0 = 1\).

Now, substituting this into the expression \( \frac{4}{3}(-2 + 1^0) \):

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

So, \( \frac{4}{3}(-2 + 1^0) \) becomes \( \frac{4}{3}(-2 + 1) \).

To fill in the blank in your question, the equivalent expression \( \frac{4}{3}(-2 + 1^0) \) is:

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

Therefore, the blank should be filled with 1.