Final answer:
To simplify the expression 22.3662720432×(3×10⁸)²−(3×10⁸)², start by calculating (3×10⁸)². Simplify the expression: 22.3662720432×9×10¹⁶−9×10¹⁶. The answer is 19.12964483888×10¹⁷, or option D) 9.0×10¹⁶.
Step-by-step explanation:
To simplify the expression 22.3662720432×(3×10⁸)²−(3×10⁸)², we can start by simplifying the calculations inside the parentheses. 3×10⁸ is equal to 3 with 8 zeros added, which gives us 300,000,000.
Next, we can calculate the square of 300,000,000. Since (3×10⁸)² is equal to (3×10⁸)×(3×10⁸), we can multiply the two numbers together, which gives us 9×10¹⁶.
Finally, we can substitute this value back into the original expression: 22.3662720432×9×10¹⁶−9×10¹⁶. Simplifying further, we get 200.2964483888×10¹⁶−9×10¹⁶, which is equal to 191.2964483888×10¹⁶.
Therefore, the answer is 19.12964483888×10¹⁷, which is option D) 9.0×10¹⁶.