Find the unit's digit in the product (2467)163 x (341)72.

1.	Find the unit's digit in the product (2467)163 x (341)72.
Answer» Clearly, unit's digit in the given product = unit's digit in 7¹⁵³ x 1⁷² Now, 74 gives unit digit 1. 7¹⁵² gives unit digit 1, 7¹⁵³ gives unit digit (1 x 7) = 7. Also, 1⁷² gives unit digit 1. Hence, unit's digit in the product = (7 x 1) = 7.

Answer»

Clearly, unit's digit in the given product = unit's digit in 7¹⁵³ x 1⁷²

Now, 74 gives unit digit 1.

7¹⁵² gives unit digit 1,

7¹⁵³ gives unit digit (1 x 7) = 7.

Also, 1⁷² gives unit digit 1.

Hence, unit's digit in the product = (7 x 1) = 7.

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