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$27^{10000} \div 27^{9999}$

$= 27^{10000-9999}=27^1=\boxed{27}$

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$\begin{aligned} \dfrac{{27}^{10000}}{{27}^{9999}} & = \dfrac{27 × {27}^{9999}}{{27}^{9999}}\\ \\ & = \color{#69047E}{\boxed{27}} \end{aligned}$

If 27 multiplied 9999 times =Figure x ; 27 multiplied 27 multiplied 9999 times =27^10000 , so the equation 27 27^9999/27^9999 Putting Values =27 x/x =27(x)/(x) =27

27^(10000-9999)=27^1

27^10000/27^9999=27^10000*27^-9999=27^10000-9999=27^1=27