Question

Wat is the square root of 69^7

Answer 1

`\boxed{69^3√(69)=328,509√(69)}`

Explanation:

`√(a^2)=a\ for\ a\geq0\\\\a^n\cdot a^m=a^(n+m)\\\\√(ab)=√(a)\cdot√(b)\ for\ a\geq0\ and\ b\geq0\\--------------------\\\\√(69^7)=\sqrt{69^(2+2+2+1)}=√(69^2\cdot69^2\cdot69^2\cdot69^1)\\\\=√(69^2)\cdot√(69^2)\cdot√(69^2)\cdot√(69)=69\cdot69\cdot69\cdot√(69)\\\\=\boxed{69^3√(69)=328,509√(69)}`