$\huge \color{#3D99F6}{3}^{\color{#20A900}{4}^{\color{#D61F06}{5}^{\color{#69047E}{6}^{\color{#624F41}{7}^{\color{#E81990}{8}}}}}}$

What's the last digit of the number above?

1
7
9
3
None of these
5

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$\begin{aligned} 3^1&=3\\3^2&=9\\3^3&=27\\3^4&=81\\3^5&=243\\3^6&=729\\3^7&=2187\\3^8&=6561\\3^9&=19683\end{aligned}\\\vdots\quad \vdots\quad \vdots$

Here we can see, changing exponent $4$ , the last digit remains same. Again if exponent is divisible by 4 than the last digit come $1$ .

Here, the $3$ 's exponent $\huge {\color{#20A900}{4}^{\color{#D61F06}{5}^{\color{#69047E}{6}^{\color{#624F41}{7}^{\color{#E81990}{8}}}}}}$ is divisible by $4$ .

So, it's last digit is $\boxed1$