Answer
The quotient rule does not apply.
Work Step by Step
According to the quotient rule for exponents, $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where $a\ne0$).
Therefore, $\frac{y^{5}}{t^{3}}$ cannot be simplified by the quotient rule for exponents, as the numerator and denominator do not have the same base $a$.