a20b134

Rewrite a20 as (a5)4.

(a5)4b134

Factor out b12.

(a5)4(b12b)4

Rewrite b12 as (b3)4.

(a5)4((b3)4b)4

Rewrite (a5)4(b3)4 as (a5b3)4.

(a5b3)4b4

(a5b3)4b4

Pull terms out from under the radical.

a5b3b4

Simplify fourth root of a^20b^13

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# Simplify fourth root of a^20b^13

a20b134

Rewrite a20 as (a5)4.

(a5)4b134

Factor out b12.

(a5)4(b12b)4

Rewrite b12 as (b3)4.

(a5)4((b3)4b)4

Rewrite (a5)4(b3)4 as (a5b3)4.

(a5b3)4b4

(a5b3)4b4

Pull terms out from under the radical.

a5b3b4

Simplify fourth root of a^20b^13