Help with convolution

Question

I'm learning about convolution operations right now, and I have to find the discrete time convolution between x[n] = 2^nδ[n − 1] and h[n] = 0.4^nu[n]. As I think I understand, the convolution between 2^nδ[n] and 0.4^nu[n] is the same as 0.4^nu[n]*2^nu[n] because the impulse function is equal to 1, but for n-1, would the result be the same except for replacing n with n-1?