$2^{^{.....}} = 64$

$2^5\times2^{^{.....}} = 512$

$2^{11}\times 2^8 = 2^{^{.....}}$

$\left(2^{^{.....}}\right)^4 = 4\,096$

$2^{12}\times 2^{-8} = 2^{^{.....}}$

$2^{^{.....}} = \dfrac{1}{16}$

$\dfrac{2^8}{2^3} = 2^{^{.....}}$

$\dfrac{2^{^{.....}}}{2^5} = 256$

$\dfrac{2^4}{2^{^{.....}}} = 2\,048$

$\left(2^{^{.....}}\right)^2 = \dfrac{1}{16}$

$\left( 2^2\times 2^{^{.....}} \right)^2 = 16\,384$

$\left( \dfrac{2^{^{.....}}}{2^3} \right)^2 = \dfrac{1}{4}$

$A(x)=x^2\times x^3$

$B(t)=t\times t^4 \times t^{-3}$

$C(y)=\dfrac{y^5}{y^2}$

$D(x)=\dfrac{x^9}{x^{-4}}$

$E(t)=\dfrac{t^2\times t^3}{t^5\times t^{-6}}$

$F(x)=\dfrac{x}{x^3}\times \dfrac{x^{-8}}{x^5}$

$G(y)=\left( y\times y^{-5} \right)^3$

$H(x)=\left( \dfrac{x^3}{x^{-1}} \right)^3$