To find the area of the rectangular section of wilderness, we can use the formula for the area of a rectangle:
\[ \text{Area} = \text{length} \times \text{width} \]
Given the dimensions in scientific notation:
- 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 associative property of multiplication, we can rearrange the multiplication:
\[ \text{Area} = (6 \times 3) \times (10^3 \times 10^4) \]
Calculating the numerical part:
\[ 6 \times 3 = 18 \]
For the powers of 10:
\[ 10^3 \times 10^4 = 10^{3+4} = 10^7 \]
Now, combining both parts, we get:
\[ \text{Area} = 18 \times 10^7 \]
Now, we can convert \( 18 \) into scientific notation:
\[ 18 = 1.8 \times 10^1 \]
Substituting this back into the area calculation gives us:
\[ \text{Area} = (1.8 \times 10^1) \times 10^7 \]
Using the property of exponents:
\[ \text{Area} = 1.8 \times 10^{1+7} = 1.8 \times 10^8 \]
Thus, the area of the land in square meters, in scientific notation, is:
\[ \boxed{1.8 \times 10^8} \]
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