Show that there is no value of n for which (2n x 5n) ends in 5.
2n x 5n can also be written as
2n x 5n = (2 x 5)n = (10)n
Which always ends in a zero
There is no value of n for which (2n x 5n) ends in 5.
Show that there is no value of n for which (2n x 5n) ends in 5.
Show that there is no value of n for which (2n x 5n) ends in 5.
Show that there is no value of n for which (2n x 5n) ends in 5.
Show that there is no value of n for which (2n x 5n) ends in 5.
We can write:
(2n × 5n ) = (2 × 5) n
= 10n
For any value of n, we get 0 in the end.
Thus, there is no value of n for which (2n × 5n ) ends in 5.