Final answer:
After performing the step-by-step calculation, the result of the equation 0.002 x 4.8 x 10⁶ / 1.6 x 10⁻² is 600,000, which does not match any of the provided options.
Step-by-step explanation:
The equation in question is 0.002 x 4.8 x 106 / 1.6 x 10-2. To find an equivalent equation, we should perform the calculations step by step:
- Multiply 0.002 by 4.8 to get 0.0096.
- Multiply 0.0096 by 106 to get 9.6 x 103, which is 9600.
- Divide 9600 by 1.6 to get 6000.
- Finally, because we are dividing by 10-2, we move the decimal place two positions to the right, thus multiplying by 100, which gets us to 600,000.
However, none of the provided options (12,000; 7,200; 30,000; 5,000) match the calculated result of 600,000. Therefore, there may be a mistake in the problem or the list of provided options.