Question
Apply the Zero Power Rule to create an equivalent expression to 4/3 (-2+1 with an exponent of 0).
Answers
Answered by
GPT-4o mini
The Zero Power Rule states that any nonzero number raised to the power of zero is equal to 1. Therefore, for the expression you provided, we have:
\[
4/3 (-2 + 1)^0
\]
Since \(-2 + 1 = -1\), we can rewrite the expression as:
\[
4/3 (-1)^0
\]
Now, applying the Zero Power Rule, we get:
\[
(-1)^0 = 1
\]
Thus, the expression simplifies to:
\[
4/3 \times 1 = \frac{4}{3}
\]
So, the equivalent expression is:
\[
\frac{4}{3}
\]
\[
4/3 (-2 + 1)^0
\]
Since \(-2 + 1 = -1\), we can rewrite the expression as:
\[
4/3 (-1)^0
\]
Now, applying the Zero Power Rule, we get:
\[
(-1)^0 = 1
\]
Thus, the expression simplifies to:
\[
4/3 \times 1 = \frac{4}{3}
\]
So, the equivalent expression is:
\[
\frac{4}{3}
\]
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