What is the unit digit in (632)^179×(615)^316×(341)^476
What is the unit digit in (632)^179×(615)^316×(341)^476
Answer/Solution
0
Steps/Work
unit digit in (632)179
= unit digit in (4)1797
= unit digit in [(42)898 × 4]
= unit digit in [16898 × 4]
= unit digit in (6 × 4)
= 4
unit digit in (615)316
= unit digit in (5)316
= 5
unit digit in (341)476
= unit digit in (1)476
= 1
Hence, unit digit in (6324)1797 × (625)316 × (341)476
= unit digit in [4 × 5 × 1]
= 0
A
= unit digit in (4)1797
= unit digit in [(42)898 × 4]
= unit digit in [16898 × 4]
= unit digit in (6 × 4)
= 4
unit digit in (615)316
= unit digit in (5)316
= 5
unit digit in (341)476
= unit digit in (1)476
= 1
Hence, unit digit in (6324)1797 × (625)316 × (341)476
= unit digit in [4 × 5 × 1]
= 0
A