Respuesta :

Answer:

5 ^ (1/12)

Step-by-step explanation:

5 ^ 1/3

-----------------

5 ^ 1/4

When we divide exponents with the same base, we subtract the exponents

5 ^ (1/3 -1/4)

Getting a common denominator

5 ^ ( 4/12 - 3/12)

5 ^ (1/12)

Answer:

[tex]\Huge \boxed{5^{\frac{1}{12}}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf \frac{5^{\frac{1}{3}} }{5^{\frac{1}{4}} }[/tex]

When dividing same bases, we subtract the exponents.

[tex]\displaystyle \sf 5^{\frac{1}{3}- \frac{1}{4} }[/tex]

Making exponents have the same denominator.

[tex]\displaystyle \sf 5^{\frac{4}{12}- \frac{3}{12} }[/tex]

Subtracting exponents.

[tex]\displaystyle \sf 5^{\frac{1}{12}}[/tex]

[tex]\rule[225]{225}{3}[/tex]