Bihar Police Constable Model Paper 2

Given:
${27}^{95}\mathit{–}{32}^{38}$
Concept:
Divide the power by 4 and write remainder in the place of power
Calculation:
Unit digit of ${27}^{95}\mathit{–}{32}^{38}$
⇒ ${27}^3\mathit{–}{32}^2$
⇒ $7^3\mathit{–}{2}^2$
⇒ 7 × 7 × 7 – 2 × 2
⇒ 343 – 4
⇒ 339
∴ Unit digit is 9.