On the fifth power

Number Theory

$\begin{aligned} {\color{#D61F06}1}^5 &= {\color{#D61F06}1} \\ {\color{#D61F06}2}^5 &= 3{\color{#D61F06}2} \\ {\color{#D61F06}3}^5 &= 24{\color{#D61F06}3} \\ {\color{#D61F06}4}^5 &= 102{\color{#D61F06}4} \\ \end{aligned}$

Is it true that the last digit of a whole number and that of its fifth power are always the same (in base 10)?