To simplify \( 1785 \times 1789 \), we can use the difference of squares formula, which states that:
\[ a^2 - b^2 = (a-b)(a+b) \]
In this case, we can rewrite the expression by recognizing that:
\[ 1785 \times 1789 = (1787 - 2) \times (1787 + 2) \]
Here, let \( a = 1787 \) and \( b = 2 \). Thus, we can apply the difference of squares formula:
\[ 1785 \times 1789 = (1787)^2 - (2)^2 \]
Calculating this gives:
\[ 1787^2 - 4 \]
Now we need to compute \( 1787^2 \):
\[ 1787^2 = 3187569 \]
So, we can continue with:
\[ 1785 \times 1789 = 3187569 - 4 = 3187565 \]
Now, since the question asks for the answer as a single term using exponents, we can express \( 3187565 \) in terms of powers, but it's a specific numerical result rather than reducible to a simpler exponent form, as it cannot be expressed in a base with an exponent (like \( a^n \)) Unless we know that \( 1785 \) and \( 1789 \) should be represented in a meaningful exponent form, often this would end here.
So the simplified answer is:
\[ \boxed{3187565} \]
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