Answer:
[tex]\boxed{69^3\sqrt{69}=328,509\sqrt{69}}[/tex]
Step-by-step explanation:
[tex]\sqrt{a^2}=a\ for\ a\geq0\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ for\ a\geq0\ and\ b\geq0\\--------------------\\\\\sqrt{69^7}=\sqrt{69^{2+2+2+1}}=\sqrt{69^2\cdot69^2\cdot69^2\cdot69^1}\\\\=\sqrt{69^2}\cdot\sqrt{69^2}\cdot\sqrt{69^2}\cdot\sqrt{69}=69\cdot69\cdot69\cdot\sqrt{69}\\\\=\boxed{69^3\sqrt{69}=328,509\sqrt{69}}[/tex]
