Question

Find the right most two digits of 79^79 *​

Answer 1

Question :- Find the right most two digits of 79^79 ?

Solution :-

→ 79⁷⁹

→ 79^(2 * 39) * 79

→ (79²)^(39) * 79

→ (6241)^39 * 79

→ (_ _ 41)^39 * 79

since unit digit is ending with 1.

conclusion :-

• unit digit = 1
• tens digit = tens digit of Base * units digit of Power = 4 * 9 = 36 = 6 .

therefore,

• (_ _ 41)^39 = Last two digits = 61

hence,

→ 61 * 79

→ 4819

∴ the right most two digits of 79⁷⁹ is 19.