Which expression is equivalent to open paren 2 cubed close paren to the negative 5 power ?

Use the power-of-a-power rule: (2³)⁻⁵ = 2^(3 × −5) = 2⁻¹⁵. A negative exponent means take the reciprocal, so this equals 1/2¹⁵, the fraction with numerator 1 and denominator 2 to the 15th power.

AI-written and checked against the verified answer.