Question

Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+10)

Answer 1

To apply the Zero Power Rule, we start with the expression \( \frac{4}{3}(-2 + 10) \).

First, simplify the expression inside the parentheses:

\[
-2 + 10 = 8
\]

Now we can substitute this back into the expression:

\[
\frac{4}{3}(8)
\]

Next, let's multiply:

\[
\frac{4 \times 8}{3} = \frac{32}{3}
\]

Since the Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1, we can write:

\[
\frac{32}{3} \cdot 1^0 = \frac{32}{3}
\]

Thus, the equivalent expression, using the Zero Power Rule, is:

\[
\frac{32}{3} \cdot 1^0
\]

So, the expression simplifies to \( \frac{32}{3} \), and any additional representation utilizing \( 1^0 \) illustrates the Zero Power Rule effectively.