1) Change the fractional exponents to similar fractions. LCD of denominators 5 and 7 is 35.
2) Re-write as:
[tex](k ^{ \frac{14}{35} } ) (k ^{ \frac{30}{35} } )[/tex]
3) Multiply (add the exponents):
[tex](k ^{ \frac{14}{35} } ) (k ^{ \frac{30}{35} } ) = k ^{ \frac{44}{35} } [/tex]
4) As radical expression, the denominator is the nth root, the numerator is the exponent of the radicand k.
[tex]k ^{ \frac{44}{35} } = \sqrt[35]{k ^{44} } [/tex]
