Question

2¹⁷ supra 8¹³=x supra2²⁷

Answer 1

$\frac{2^{17}}{8^{13}} = \frac{x}{2^{27}} \\ 8^{13}x=2^{17} \cdot 2^{27} \\ x= \frac{2^{17} \cdot 2^{27}}{8^{13}} \\ \Rightarrow \boxed{x=32}$

Answer 2

$\frac{ 2^{17} }{ (2^{3)^{13} } } = \frac{x}{ 2^{27} }$

x = $\frac{ 2^{17} * 2^{27} }{ 2^{39} }$

x = $\frac{ 2^{44} }{ 2^{39}}$

x = $2^{5}$

x = 32