To solve this expression, we follow the order of operations (PEMDAS).
3⁻⁵ ÷ 3⁻⁷ - 2⁻² × 2⁴ + ((2/3)⁻¹)³= 1/3⁵ ÷ 1/3⁷ - 1/2² × 2⁴ + (3/2)³= 1/243 ÷ 1/2187 - 1/4 × 16 + (27/8)= 1/243 ÷ 1/2187 - 4 + 27/8= (1/243) * (2187/1) - 4 + 27/8= 2187/291051 - 4 + 27/8= 2187/291051 - 1164/291051 + 9021/291051= (2187 - 1164 + 9021) / 291051= 10044 / 291051
Therefore, the result is 10044 / 291051.
To solve this expression, we follow the order of operations (PEMDAS).
3⁻⁵ ÷ 3⁻⁷ - 2⁻² × 2⁴ + ((2/3)⁻¹)³
= 1/3⁵ ÷ 1/3⁷ - 1/2² × 2⁴ + (3/2)³
= 1/243 ÷ 1/2187 - 1/4 × 16 + (27/8)
= 1/243 ÷ 1/2187 - 4 + 27/8
= (1/243) * (2187/1) - 4 + 27/8
= 2187/291051 - 4 + 27/8
= 2187/291051 - 1164/291051 + 9021/291051
= (2187 - 1164 + 9021) / 291051
= 10044 / 291051
Therefore, the result is 10044 / 291051.