[tex]\displaystyle\bf\\5^{3-\sqrt{18} } \cdot 5^{3+\sqrt{18} } =5^{3-\sqrt{18}+3+\sqrt{18} }=5^{6} = 15625\\\\\\\Big(6^{\sqrt{2} } \Big)^{\sqrt{8} } =6^{\sqrt{2}\cdot \sqrt{8} }=6^{\sqrt{16} } =6^{4}=1296[/tex]
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[tex]\displaystyle\bf\\5^{3-\sqrt{18} } \cdot 5^{3+\sqrt{18} } =5^{3-\sqrt{18}+3+\sqrt{18} }=5^{6} = 15625\\\\\\\Big(6^{\sqrt{2} } \Big)^{\sqrt{8} } =6^{\sqrt{2}\cdot \sqrt{8} }=6^{\sqrt{16} } =6^{4}=1296[/tex]