Question

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

Answer 1

Applying the Zero Power Rule, any number (except zero) raised to the power of zero is equal to 1.

9 * (-33)^0 + 3/2 (8 - 27^0)

Simplifying:

9 * 1 + 3/2 (8 - 1)

9 + 3/2 (7)

Now, let's simplify the expression further:

9 + (3/2) * 7

9 + (3/2) * 7 can be rewritten as:

9 + (3/2) * 7 = 9 + (3 * 7) / 2.

So the equivalent expression is:

_ * _ + 3/2 (_ - _) = 9 + (3 * 7) / 2.