Final answer:
The expression (3)² (7)°(2)⁻³ simplifies to 9 × 1 × 0.125, which equals 1.125. This is done by calculating each part of the expression and then multiplying them together.
Step-by-step explanation:
The question asks us to calculate the value of the expression (3)² (7)°(2)⁻³.
First, we need to understand what each part of the expression means:
- (3)² is 3 raised to the power of 2, which means 3 × 3, giving us 9.
- (7)° is 7 raised to the power of 0, and any number (except 0) raised to the power of 0 is 1.
- (2)⁻³ is 2 raised to the negative power of 3, which means ⅔ or ⅔, giving us ⅔ or 0.125.
So, the expression simplifies to:
9 × 1 × 0.125 = 1.125
Therefore, the value of the expression (3)² (7)°(2)⁻³ is 1.125.