CBSE Class 10 Maths (Basic) 2023 · Paper 430/2/1 · Question 22(b)

Real Numbers 2 marks Medium

Show that

(15)^{n}

cannot end with the digit

0

for any natural number 'n'.

Answer

(15)^{n} = 3^{n} \times 5^{n}

has no factor of

2

, so it is never divisible by

10

and cannot end with

0

. Hence proved.

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