For this case we have that by definition, a rational exponent is an exponent that can be expressed as [tex]\frac {a} {b}[/tex], where a and b are integers and n is nonzero.
The exponent [tex]\frac {1} {a}[/tex] indicates the "a" root.[tex]x ^ {\frac {1} {a}} = \sqrt [a] {x}[/tex]
We have the following expression:
[tex]\sqrt [5] {n ^ 4} + 3-12 =[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]\sqrt [5] {n ^ 4} -9 =[/tex]
Applying the property:
[tex]n ^ {\frac {4} {5}} - 9[/tex]
Answer:
[tex]n ^ {\frac {4} {5}} - 9[/tex]
