HELP PLS!! 50 POINTS
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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]