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 (___ – ___)
Fill in the blanks.
9 ⋅ (− 33)^0 + 3/2(8 − 27^0) = 1 ⋅ 1 + 3/2 (8 – 1)
To apply the Zero Power Rule, any number (except zero) raised to the power of zero equals 1. Therefore, we can simplify (-33)^0 as 1.
9 ⋅ (− 33)^0 + 3/2(8 − 27^0) = 9 ⋅ 1 + 3/2 (8 − 1)
The expression simplifies to:
9 ⋅ 1 + 3/2 (8 − 1) = 9 + 3/2(7)