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

Answer 1

According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, we can simplify the expression as follows:

9 × (-33)^0 + 3/2 × (8 - 27^0)

= 9 × 1 + 3/2 × (8 - 1)

= 9 + 3/2 × 7

= 9 + 21/2

To add these fractions, we need a common denominator:

= 9 + (21/2) × (2/2)

= 9 + 42/2

= 9 + 21

= 30

Therefore, the equivalent expression is 30.