Answer:
2
Step-by-step explanation:
[tex] \frac{64 \times {5}^{ \sqrt{25} } \times {17}^{ \sqrt{27} \times {17}^{ - \sqrt{12} } } }{2 \times {5}^{5} \times 16 \times {17}^{ \sqrt{3} } } \\ \\ = \frac{64 \times {5}^{ 5 } \times {17}^{ 3\sqrt{3} \times {17}^{ - 2 \sqrt{3} } } }{32 \times {5}^{5} \times {17}^{ \sqrt{3} } } \\ \\ = \frac{2 \times {5}^{ 5 } \times {17}^{ 3\sqrt{3} \times {17}^{ - 2 \sqrt{3} } } }{{5}^{5} \times {17}^{ \sqrt{3} } } \\ \\ = \frac{2 \times {17}^{ 3\sqrt{3} - 2 \sqrt{3} } }{ {17}^{ \sqrt{3} } } \\ \\ = \frac{2 \times {17}^{ \sqrt{3}} }{ {17}^{ \sqrt{3} } } \\ \\ = 2[/tex]
