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

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 recognize that any non-zero number raised to the power of 0 is equal to 1. In your expression, \(1^0\) will equal 1 since 1 is a non-zero number.

Now we can rewrite the expression:

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

So, the equivalent expression is:

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

In the blank, you would put 1:

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