Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)

9⋅(−33)^0+3/2(8−27^0) = __ ⋅ __ + 3/2 ( __ – __ )

1 answer

To apply the Zero Power Rule, we first need to recognize that any non-zero number raised to the power of 0 is equal to 1. This includes \((-33)^0\) and \(27^0\):

  • \((-33)^0 = 1\)
  • \(27^0 = 1\)

Now, substitute these values into the expression:

  1. For \(9 \cdot (-33)^0\): \[ 9 \cdot (-33)^0 = 9 \cdot 1 = 9 \]

  2. For \(3/2(8 - 27^0)\): \[ 3/2(8 - 27^0) = 3/2(8 - 1) = 3/2 \cdot 7 \]

Now we can rewrite the expression:

\[ 9 \cdot 1 + \frac{3}{2}(8 - 1) \]

So, filling in the blanks gives us:

9⋅(−33)^0 + 3/2(8−27^0) = 91 + 3/2 ( 81 )