Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+fraction3/2(8−27^0) .(2 points)

Answer 1

To apply the Zero Power Rule, we know that any number (except zero) raised to the power of zero equals 1. So, we can simplify the expression as follows:

9⋅(−33)^0 + ⅔(8−27^0)
= 9⋅1 + ⅔(8−1)
= 9 + ⅔(7)
= 9 + ⅔(7)
= 9 + 14/3
= 27/3 + 14/3
= 41/3

Therefore, the equivalent expression is 41/3.