(3^5+3^9):(3^-5+3^-9)

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To simplify this expression, we will first simplify each term in the numerator and denominator separately:

Numerator: 3^5 + 3^9
3^5 = 243
3^9 = 19683
243 + 19683 = 19926

Denominator: 3^-5 + 3^-9
3^-5 = 1/3^5 = 1/243
3^-9 = 1/3^9 = 1/19683
1/243 + 1/19683 = 199/19683

Now, we can substitute these values back into the original expression:

(19926) / (199/19683)

To divide by a fraction, we can multiply by its reciprocal:

19926 * 19683 / 199
= 393666858 / 199
= 1971729

Therefore, the simplified expression is 1971729.