The value of 193+63+(3)(19)(6)(25)36+6(243)(2)+(15)(81)(4)+(20)(27)(8)+15(9)(16)+6(3)(32)+64is

The value of $\frac{19^{3} + 6^{3} + (3) (19) (6) (25)}{3^{6} + 6 (243) (2) + (15) (81) (4) + (20) (27) (8) + 15 (9) (16) + 6 (3) (32) + 64}$ is

Numerator $= 19^{3} + 6^{3} + 3 (19) (6) (19 + 6)$

$= (19 + 6)^{3} = 25^{3}$

and denominator $= (3 + 2)^{6} = 5^{6}$

Thus, given expression = 1

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