Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) does 9 ⋅ (−33) ^ 0 + 3/2 (8−27^0) = 9*1 + 3/2 (8-1)?

1 answer

To apply the Zero Power Rule, any base raised to the power of zero equals 1. Thus, the expression can be simplified as follows:

9⋅(−33)^0 + 3/2 (8−27^0)
= 9⋅1 + 3/2 (8-1)
= 9 + 3/2 (7)
= 9 + 3/2 * 7
= 9 + 21/2
= 9 + 10.5
= 19.5

Therefore, the simplified expression is 19.5.

So, no, 9 ⋅ (−33) ^ 0 + 3/2 (8-27^0) ≠ 9*1 + 3/2 (8-1)
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