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

Question

9⋅(−33) raised to the 0 power +32(8−27 raised to the 0 power) =  ⋅  +32( – )

Answer 1

According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, we can apply this to simplify the given expression:

1. For \( (-33)^0 \), it equals 1.
2. For \( 27^0 \), it also equals 1.

Now substituting these values into the expression:

\[ 9 \cdot (-33)^0 + 32(8 - 27^0) = 9 \cdot 1 + 32(8 - 1) \]

This simplifies to:

\[ 9 + 32(7) \]

So we can say:

\[ 9 \cdot (−33)^0 + 32(8−27^0) = 9 + 32(7) \]

Thus, the equivalent expression is:

\[ 9 + 32(7) \]