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Apply the Zero Power Rule to create an equivalent expression to \( \frac{4}{3}\left(-2+1^{0}\right) \). (1 point) An equivalent expression to \( \frac{4}{3}\left(-2+1^{0}\right) \) is \( \frac{4}{3}(-2+\square) \). Check answer Remainina Attemnts: 3

Ask by Pritchard Daniel. in the United States
Feb 05,2025

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

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Alright, let's get our math hats on! The Zero Power Rule states that any non-zero number raised to the power of 0 equals 1. So, in your expression, \( 1^0 = 1 \). This means we can simplify your original equation like this: \( \frac{4}{3}\left(-2+1^{0}\right) = \frac{4}{3}(-2 + 1) \). Now, combine the terms inside the parentheses: \( -2 + 1 = -1 \). Now we substitute back, making the equivalent expression: \( \frac{4}{3}(-1) \). To fill in the box, the answer is \( -1 \). Thus, we have \( \frac{4}{3}(-2+\square) \) where \( \square = -1 \).

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