Question

HELP PLS!! 50 POINTS

Answer 1

`\Huge \boxed{5^{(1)/(12)}}`

`\rule[225]{225}{3}`

Explanation:

`\displaystyle \sf \frac{5^{(1)/(3)} }{5^{(1)/(4)} }`

When dividing same bases, we subtract the exponents.

`\displaystyle \sf 5^{(1)/(3)- (1)/(4) }`

Making exponents have the same denominator.

`\displaystyle \sf 5^{(4)/(12)- (3)/(12) }`

Subtracting exponents.

`\displaystyle \sf 5^{(1)/(12)}`

`\rule[225]{225}{3}`

Answer 2

5 ^ (1/12)

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)