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

Answer 1

By applying the Zero Power Rule, any non-zero number raised to the power of 0 equals 1. Therefore, we have:

9⋅(−33)^0 + 3/2(8−27^0)

Since any number raised to the power of 0 equals 1, (-33)^0 equals 1. Substituting this value, we get:

9⋅1 + 3/2(8−1)

Simplifying further:

9 + 3/2(7)

Now, let's calculate the expression in the parentheses:

9 + 3/2 * 7

Multiplying 3/2 by 7:

9 + 21/2

In order to add the fractions, we need a common denominator:

9 + 21/2 = 18/2 + 21/2 = 39/2

Therefore, the equivalent expression is 39/2.