Answer:
The square root is 371293.
Step-by-step explanation:
We solve this question using properties of exponents.
The square root of 169 is 13, so the exponent given can be written as:
[tex]169^{5} = (13^{2})^5 = 13^{10}[/tex]
The square root of [tex]13^{10}[/tex] is given by:
[tex]\sqrt{13^{10}} = 13^{\frac{10}{2}} = 13^5 = 371293[/tex]
The square root is 371293.