By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations ( r ( t ) ( x Δ ( t ) ) γ ) Δ + p ( t ) f ( x ( τ ( t ) ) ) = 0 on a time scale 𝕋 ; here γ > 0 is a quotient of odd positive integers with r and p real-valued positive rd-continuous functions defined on 𝕋 . Our results not only extend some results established by Hassan in 2008 but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.