Question
apply the zero power roll to create an equivalent expression to four over three in parentheses minus 2+1 super script zero
Answers
GPT-4o mini
To apply the zero power rule, we recall that any non-zero number raised to the power of zero is equal to 1. In your expression, we have:
\[
\frac{4}{3} - 2 + 1^0
\]
Since \(1^0 = 1\), we can replace \(1^0\) with \(1\):
Now the expression simplifies to:
\[
\frac{4}{3} - 2 + 1
\]
Next, we simplify \( - 2 + 1 \):
\[
-2 + 1 = -1
\]
So now we have:
\[
\frac{4}{3} - 1
\]
To combine these, we express \(-1\) with a common denominator:
\[
-1 = -\frac{3}{3}
\]
Now we can combine the fractions:
\[
\frac{4}{3} - \frac{3}{3} = \frac{4 - 3}{3} = \frac{1}{3}
\]
Thus, the equivalent expression is:
\[
\frac{1}{3}
\]
\[
\frac{4}{3} - 2 + 1^0
\]
Since \(1^0 = 1\), we can replace \(1^0\) with \(1\):
Now the expression simplifies to:
\[
\frac{4}{3} - 2 + 1
\]
Next, we simplify \( - 2 + 1 \):
\[
-2 + 1 = -1
\]
So now we have:
\[
\frac{4}{3} - 1
\]
To combine these, we express \(-1\) with a common denominator:
\[
-1 = -\frac{3}{3}
\]
Now we can combine the fractions:
\[
\frac{4}{3} - \frac{3}{3} = \frac{4 - 3}{3} = \frac{1}{3}
\]
Thus, the equivalent expression is:
\[
\frac{1}{3}
\]