Question

what are the last three digits to 5 to the power of 2020

Answer 1

Answer:

the last digit of 5 to the power of 2020 is 25 because 5^6=78125 you will observe that any number will have 25 as the last two digits. And the pattern will repeat till 5^100. Hence the last two digit will be 25.

Answer 2

Given:

What are the last three digits to 5 to the power of 2020

Solution:

Observe the following patterns carefully,

$\[\begin{array}{l}{5^8} = 390625\\{5^9} = 1953125\\{5^{10}} = 9765625\\{5^{11}} = 48828125\end{array}\]$

Notice that when power is odd the last three digits are 125 and when the power is even the last three digits are 625.

Since  $\[{5^{2020}}\]$ has a even power..

Therefore the last three digits will be 125.

Hence, the last three digits to 5 to the power of 2020 are 125.