$$( { A }^{ 2 } ) \times (2 { A }^{ 22 } ) \times (4 { A }^{ 26 } )$$
$8A^{50}$
$$A^{24}\times 2\times 4A^{26}$$
$$A^{50}\times 2\times 4$$
$$A^{50}\times 8$$
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$400A^{49}$
$$\frac{\mathrm{d}}{\mathrm{d}A}(A^{24}\times 2\times 4A^{26})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(A^{50}\times 2\times 4)$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(A^{50}\times 8)$$
$$50\times 8A^{50-1}$$
$$400A^{50-1}$$
$$400A^{49}$$