Apply the zero power rule to create an equivalent expression to 9 x (-33)^0 + 3/2(8 - 27^0)

Answer 1

The zero power rule states that any non-zero number raised to the power of 0 is equal to 1.

Using this rule, we can apply it to the expression:
9 x (-33)^0 + 3/2(8 - 27^0)

Since any number raised to the power of 0 is 1, (-33)^0 is equal to 1. Therefore, the expression becomes:
9 x 1 + 3/2(8 - 1)

Simplifying further:
9 + 3/2(7)

Multiplying 3/2 by 7 and simplifying:
9 + 21/2

To add these fractions, we need a common denominator, which is 2. So we multiply the numerator and denominator of 9 by 2:
18/2 + 21/2

Combining the fractions:
(18 + 21)/2

Simplifying the numerator:
39/2

The equivalent expression is 39/2.