Question

Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270)
.(2 points)

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to one. Therefore, we can apply this rule to the expression \( 9 \cdot (-33)^0 + 32(8 - 270) \).

First, calculate \( (-33)^0 \):

\[
(-33)^0 = 1
\]

Now, substitute that back into the expression:

\[
9 \cdot 1 + 32(8 - 270)
\]

This simplifies to:

\[
9 + 32(8 - 270)
\]

Next, simplify \( 8 - 270 \):

\[
8 - 270 = -262
\]

Now, substitute that back into the expression:

\[
9 + 32(-262)
\]

Now, calculate \( 32 \cdot (-262) \):

\[
32 \cdot (-262) = -8384
\]

Finally, add this to 9:

\[
9 - 8384 = -8375
\]

So, an equivalent expression for \( 9 \cdot (-33)^0 + 32(8 - 270) \) is:

\[
-8375
\]