Question
Apply the zero power rule to create an equivalent expression to 4 over 3 (-2 + 1 to the power of 0)
Answers
GPT-4o mini
According to the zero power rule, any non-zero number raised to the power of zero is equal to 1. This means that \(1^0 = 1\) and any other expression raised to the power of zero will also equal 1, provided that the base is not zero.
Now, applying this to the expression \((-2 + 1)^0\):
1. First, simplify the expression inside the parentheses:
\[
-2 + 1 = -1
\]
2. Now apply the zero power rule:
\[
(-1)^0 = 1
\]
3. Substitute this back into the original expression:
\[
\frac{4}{3}(-2 + 1)^0 = \frac{4}{3}(1)
\]
4. This simplifies to:
\[
\frac{4}{3}
\]
So, the equivalent expression to \( \frac{4}{3}(-2 + 1)^0 \) is \(\frac{4}{3}\).
Now, applying this to the expression \((-2 + 1)^0\):
1. First, simplify the expression inside the parentheses:
\[
-2 + 1 = -1
\]
2. Now apply the zero power rule:
\[
(-1)^0 = 1
\]
3. Substitute this back into the original expression:
\[
\frac{4}{3}(-2 + 1)^0 = \frac{4}{3}(1)
\]
4. This simplifies to:
\[
\frac{4}{3}
\]
So, the equivalent expression to \( \frac{4}{3}(-2 + 1)^0 \) is \(\frac{4}{3}\).