Question

show that there is no value of n for which (2n×5n) ends in 5

Answer 1

2n * 5n = 10n2
Any number multiplied by 10 always ends in 0. (The basic test of divisibility rule to check if a number is divisible by 10 is whether the final digit of the number is 0).
Thus, for any value of n, n2 multiplied by 10 will also end in 0. As a result, the value of 10n2 will never end with 5.

Answer 2

hi buddy
here's your answer looking for

According to Question,
solving the given expression further,
we will get,

=>2n×5n

$= 10 {n}^{2}$
so,

we can conclude here that , whenever we gonna multiply any number by 10, then we will be left with the number that ends with 0.

so, there is no value for money for which 2n×5n ends in 5

hope you are satisfied with my answer