Question

What is the result of the expression (1.6 × 10⁻¹³ J)² − (9.1 × 10⁻³¹ × (3 × 10⁸ m/s)²)² (1.6 × 10⁻¹³ J)² − (9.1 × 10⁻³¹ × (3 × 10⁸ m/s)²)²? a) 2.56 x 10⁻²⁶ J² b) 4.89 x 10⁻⁵⁰ J² c) 3.33 x 10⁻²⁴ J² d) 1.11 x 10⁻⁴⁵ J²

Answer 1

The result of the given expression is 2.56 x 10⁻²⁶ J².

Step-by-step explanation:

To simplify the given expression, we can break it down into smaller parts. Let's start with the first part: (1.6 × 10⁻¹³ J)². This can be calculated as (1.6)² × (10⁻¹³)² = 2.56 × 10⁻²⁶ J².

Now let's move on to the second part: (9.1 × 10⁻³¹ × (3 × 10⁸ m/s)²)². This can be simplified as (9.1 × 10⁻³¹)² × (3 × 10⁸)² = 8.2813 × 10⁻⁶⁷ J².

Now we can subtract the two results: (2.56 × 10⁻²⁶ J²) - (8.2813 × 10⁻⁶⁷ J²) = 2.56 × 10⁻²⁶ J². Therefore, the answer is option a) 2.56 x 10⁻²⁶ J².