1. **Problem Statement:**
A laptop was purchased for RM 3000. Its value decreases each year according to the formula $$3000 \times \left(\frac{9}{10}\right)^n$$ where $n$ is the number of years after purchase. We need to find the value of the laptop after 4 years and round it to the nearest RM.
2. **Formula Used:**
The value after $n$ years is given by:
$$V = 3000 \times \left(\frac{9}{10}\right)^n$$
This is an example of exponential decay where the value decreases by a factor of $\frac{9}{10}$ each year.
3. **Calculate the value after 4 years:**
Substitute $n=4$:
$$V = 3000 \times \left(\frac{9}{10}\right)^4$$
4. **Evaluate the power:**
$$\left(\frac{9}{10}\right)^4 = \frac{9^4}{10^4} = \frac{6561}{10000} = 0.6561$$
5. **Calculate the value:**
$$V = 3000 \times 0.6561 = 1968.3$$
6. **Round to the nearest RM:**
The value after 4 years is approximately RM 1968.
**Final answer:**
$$\boxed{1968}$$
Laptop Value
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