To simplify the expression $\dfrac{y^{-7}}{y^{-13}}$ into the form $y^n$, we can use the rule for dividing powers with the same base:

$\dfrac{y^a}{y^b} = y^{a - b}$

Applying this rule:

$\dfrac{y^{-7}}{y^{-13}} = y^{-7 - (-13)} = y^{-7 + 13} = y^6$

So, the expression simplifies to:

$y^6$

Would you like further explanation on the steps?

Here are some related questions:

1. What is the rule for multiplying powers with the same base?
2. How do we handle negative exponents in an expression?
3. Can this expression be simplified further if given additional terms?
4. How would this change if the exponents were fractions?
5. How would we simplify an expression with different bases but similar operations?

Tip: When dividing exponents with the same base, subtract the exponent in the denominator from the exponent in the numerator.