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

Question

.(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:

\[ -8375 \]