apply the zero power roll to create an equivalent expression to four over three in parentheses minus 2+1 super script zero

Answer 1

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:

\[ \frac{1}{3} \]