Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1 0)

.(1 point)
An equivalent expression to 4/3(−2+1 0)
is 43
(−2+

).

1 answer

To apply the Zero Power Rule, we first recognize that any non-zero number raised to the power of zero is equal to 1. In your expression, there is the term \( 10 \), which we can interpret as \( 10^1 \). When we apply the Zero Power Rule to this, we consider that any non-zero number to the power of 0 equals 1.

Now, we simplify the expression \( 4/3(-2 + 1 \cdot 0) \):

Since \( 1 \cdot 0 = 0 \), we replace it in the expression:

\[ 4/3(-2 + 0) \]

This simply becomes:

\[ 4/3(-2) \]

Thus, we can write it in an equivalent form as:

\[ \frac{4}{3}(-2 + 1^0) \]

Here, \( 1^0 = 1 \), so your equivalent expression is:

\[ \frac{4}{3}(-2 + 1^0) \]

Therefore, the expression \( \frac{4}{3}(-2 + 1) \) can be rewritten as:

\[ \frac{4}{3}(-2 + 1^0) \]

If you want the final form purely in terms of numbers, you can summarize it as:

\[ \frac{4}{3}(-2 + 1) = \frac{4}{3}(-1) \]

So, the final answer in the context you provided is:

\[ \frac{4}{3}(-2 + 1^0) \]

Or equivalently, you can just simplify it down further to:

\[

  • \frac{4}{3} \]