To find the area of a Canadian football field, we can start with the area of the American football field, which is given as \(6.4 \times 10^3\) square yards.
The Canadian football field is 3,350 square yards larger than the American football field:
\[ 3,350 \text{ square yards} = 3.35 \times 10^3 \text{ square yards}. \]
Now, we can calculate the area of the Canadian football field by adding the two values:
\[ \text{Area of Canadian football field} = (6.4 \times 10^3) + (3.35 \times 10^3) = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3 \text{ square yards}. \]
Thus, the area of the Canadian football field in scientific notation to two decimal places is:
\[ \boxed{9.75 \times 10^3} \text{ square yards}. \]
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