Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .
The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1.
So, applying this rule to the expression, we have:
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
= 18/2 + 21/2
= 39/2
Therefore, the equivalent expression is 39/2.