1) The balanced chemical equation showing reaction of manganese dioxide and aluminium powder:
3MnO2 + 4Al 3Mn + 2Al2O3
Since Al is more reactive than Mn, it will displace Mn from its oxide.
2) There is no reaction between manganese powder and aluminium oxide as Mn is less reactive than Al , It can not displace Al from its oxide.
Mn + Al2O3 No reaction