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$\small \left\{\left(\dfrac{13}{4}\right)^3÷\left(-\dfrac{26}{3}\right)^3·\left(-\dfrac{8}{3}\right)^2+\left[\left(\dfrac{1}{2}\right)^2+\left(\dfrac{1}{4}\right)^2\right]\right\}÷\left[\left(\dfrac{3}{4}\right)^2+1\right] =$
$\small =\left\{\left(\dfrac{\cancel{13}^1}{4}·-\dfrac{3}{\cancel{26}_2}\right)^3·\left(-\dfrac{8}{3}\right)^2+\left[\dfrac{1}{4}+\dfrac{1}{16}\right]\right\}÷\left[\dfrac{9}{16}+1\right] =$
$\small =\left\{\left(\dfrac{1}{4}·-\dfrac{3}{2}\right)^3·\dfrac{64}{9}+\left[\dfrac{4+1}{16}\right]\right\}÷\left[\dfrac{9+16}{16}\right] =$
$\small =\left\{\left(-\dfrac{3}{8}\right)^3·\dfrac{64}{9}+\dfrac{5}{16}\right\}÷\dfrac{25}{16} =$
$\small =\left\{-\dfrac{\cancel{27}^3}{\cancel{512}_8}·\dfrac{\cancel{64}^1}{\cancel9_1}+\dfrac{5}{16}\right\}·\dfrac{16}{25} =$
$\small =\left\{-\dfrac{3}{8}·\dfrac{1}{1}+\dfrac{5}{16}\right\}·\dfrac{16}{25} =$
$\small =\left\{-\dfrac{3}{8}+\dfrac{5}{16}\right\}·\dfrac{16}{25} =$
$\small =\left\{\dfrac{-6+5}{16}\right\}·\dfrac{16}{25} =$
$\small = -\dfrac{1}{\cancel{16}_1}·\dfrac{\cancel{16}^1}{25} =$
$\small = -\dfrac{1}{1}·\dfrac{1}{25} =$
$\small = -\dfrac{1}{25} $
((13/4*-3/26)^3*64/9+(1/4+1/16)):(9/16+1)
((-3^2*3/(64*8)*64/9 +5/16) / 25/16
(-3/8+5/16)*16/25
(-6+5)/16*16/25
-1/16*16/25
-1/25