To find the area of the rectangular section of wilderness, we use the formula for the area of a rectangle:
\[ \text{Area} = \text{length} \times \text{width} \]
Given the dimensions:
- Length = \( 6 \times 10^3 \) meters
- Width = \( 3 \times 10^4 \) meters
Now, we can calculate the area:
\[ \text{Area} = (6 \times 10^3) \times (3 \times 10^4) \]
Using the property of multiplying numbers in scientific notation, we multiply the coefficients (6 and 3) and add the exponents (3 and 4):
\[ \text{Area} = (6 \times 3) \times (10^3 \times 10^4) \]
Calculating the coefficients:
\[ 6 \times 3 = 18 \]
Calculating the powers of ten:
\[ 10^3 \times 10^4 = 10^{3 + 4} = 10^7 \]
Therefore, we combine these results:
\[ \text{Area} = 18 \times 10^7 \]
To express \( 18 \times 10^7 \) in proper scientific notation, we adjust it to be in the form \( a \times 10^n \) where \( 1 \leq a < 10 \). We can rewrite 18 as \( 1.8 \times 10^1 \):
\[ \text{Area} = 1.8 \times 10^1 \times 10^7 = 1.8 \times 10^{1 + 7} = 1.8 \times 10^8 \]
Thus, the area of the land in square meters, in scientific notation, is:
\[ \boxed{1.8 \times 10^8} \]
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