To simplify this expression, we will first simplify each term in the numerator and denominator separately:
Numerator: 3^5 + 3^93^5 = 2433^9 = 19683243 + 19683 = 19926
Denominator: 3^-5 + 3^-93^-5 = 1/3^5 = 1/2433^-9 = 1/3^9 = 1/196831/243 + 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.
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.