Question

what are the last two digits of (625)^123​

Answer 1

Answer:

Answer 12 3 gm that gsgscsxscbsjxgdvehwjgwcw

Answer 2

Last two digits of  (625)¹²³ are  25

Given : (625)¹²³

To Find : Last two digits

Solution:

(625)¹²³

625 = 5⁴

= ( 5⁴)¹²³

(xᵃ)ᵇ = xᵃˣᵇ

= 5⁴ˣ¹²³

= 5⁴⁹²

5² = 25

5³ = 125

5⁴ = 625

5⁵ = 3125

Hence 5ⁿ  ends with 25

therefore, last two digits of 5⁴⁹²  are 25

Hence (625)¹²³  last two digits are 25

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