Check whether there is any natural number 'n' for which (14)n ends with the digit '0' or '5'.

CBSE Class 10 Maths PYQ · Real Numbers · Unit digit 0 · 2 Marks · July 2024 · Standard

Solve it yourself first — then press or tap Show Solution. Use for previous / next question.

592 Marks · July 2024 · Standard
Check whether there is any natural number 'n' for which $(14)^n$ ends with the digit '0' or '5'.
Show SolutionHide Solution
$(14)^n = 2^n7^n$
as it does not have $5$ as the prime factor
Hence, it cannot end with the digit $0$ or $5$
← Previous questionNext question →