Simplify the radical, the square root of x^13

√ (x^13) is equal to:

(x^13) ^ (1/2) which is equal to:

(x^12*x^1) ^ (1/2) which is equal to

(x^12) ^ (1/2) * (x^1) ^ (1/2)

and the applicable rule: (a^b) ^c=a^ (b*c) so

x^ (12*1/2) * x^ (1*1/2)

x^6*x^ (1/2)

x^6√x

Rewrite it as a perfect square.

√x¹²x

Write it as a product of two radicals.

√x¹²√x

Simplify √x¹² (divide for 2)

√x¹² * 1/2

x⁶√x