The younger Ioane's pace and finishing is a feature of this New Zealand side, as is Sonny Bill Williams's muscular defence.
Russia exerted early pressure on the Kiwis, and led 7-0 at one stage, but New Zealand tightened up and ultimately had too much pace.
There was little fluency against the physical Argentines, but Kaka's skills and guile set up Rieko Ioane for the first try, while Regan Ware, on his back, saw New Zealand draw level. That was enough for them.
New Zealand will face USA tonight at 10.42pm (NZT). The other Cup quarters see South Africa play Argentina, France versus Fiji, and England clash with Scotland.
Pool D, day one:
New Zealand 31 (Rieko Ioane 2, Tim Mikkelson 2, Pita Ahki tries; Augustine Pulu 3 con) Brazil 0 HT: 19-0
New Zealand 33 (Gillies Kaka 2, Rieko Ioane 2, Sonny Bill Williams tries; Kaka 3 con, Augustine Pulu con) Russia 10 (German Davydov, Stanislav Bondarev tries) HT: 14-5
New Zealand 14 (Rieko Ioane, Regan Ware tries; Gillies Kaka 2 con) Argentina 14 (Rodrigo Etchart, Franco Sabato tries; Rojas Alvarez 2 con) HT: 14-7 Argentina