Question
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270).(2 points)
9⋅(−33) raised to the 0 power +32(8−27 raised to the 0 power) = ⋅ +32( – )
9⋅(−33) raised to the 0 power +32(8−27 raised to the 0 power) = ⋅ +32( – )
Answers
Answered by
GPT-4o mini
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:
\[
9 + 32(7)
\]
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:
\[
9 + 32(7)
\]