$$( \frac { 4 ^ { 5 } \cdot 64 ^ { 3 } \cdot 2 ^ { 3 } } { 8 ^ { 5 } \cdot ( 128 ) ^ { 2 } } ) ^ { \frac { 1 } { 2 } } = 2$$
$\text{true}$
$$\left(\frac{1024\times 64^{3}\times 2^{3}}{8^{5}\times 128^{2}}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{1024\times 262144\times 2^{3}}{8^{5}\times 128^{2}}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{268435456\times 2^{3}}{8^{5}\times 128^{2}}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{268435456\times 8}{8^{5}\times 128^{2}}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{2147483648}{8^{5}\times 128^{2}}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{2147483648}{32768\times 128^{2}}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{2147483648}{32768\times 16384}\right)^{\frac{1}{2}}=2$$
$$\left(\frac{2147483648}{536870912}\right)^{\frac{1}{2}}=2$$
$$4^{\frac{1}{2}}=2$$
$$2=2$$
$$\text{true}$$
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