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

Answer 1

To apply the Zero Power Rule, we need to remember that any non-zero number raised to the power of zero is equal to 1.

In the expression 9⋅(−33)0+3/2(8−27^0), we have (-33)^0 and 27^0.

Using the Zero Power Rule, we can simplify these terms as:

(-33)^0 = 1
27^0 = 1

So the expression becomes:

9⋅1 + 3/2(8−1)

Simplifying further:

9 + 3/2(7)

Now we can evaluate the multiplication:

9 + 21/2

To add these fractions, we need to have a common denominator. We can convert 9 to a fraction by multiplying it by 2/2:

18/2 + 21/2

Adding the fractions together:

(18 + 21)/2

Simplifying the numerator:

39/2

Therefore, the equivalent expression using the Zero Power Rule is 39/2.