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 power of 0+32(8−27 raised to the power of 0) = 30  ⋅  +32( – )

Answer 1

To apply the Zero Power Rule, we need to remember that any non-zero number raised to the power of 0 is equal to 1. Therefore, we can simplify the expression step by step.

Given the expression:

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

First, we can simplify \((-33)^0\) and \(27^0\):

1. \((-33)^0 = 1\)
2. \(27^0 = 1\)

Now substituting these into the expression gives:

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

This simplifies to:

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

Now, calculate the expression in the parentheses:

\[ 8 - 1 = 7 \]

Now, substituting this back into the expression:

\[ 9 + 32 \cdot 7 \]

Now, calculate \(32 \cdot 7\):

\[ 32 \cdot 7 = 224 \]

Finally, adding this to 9:

\[ 9 + 224 = 233 \]

Thus, the equivalent expression is:

\[ 233 \]