The expression you've provided is $\frac{m^{5} \cdot m^{6}}{m^{4}}$. To simplify this expression, you can use the properties of exponents.

Step 1: Simplify the numerator

First, apply the product of powers property, which states that when multiplying two exponents with the same base, you add the exponents:

$m^{5} \cdot m^{6} = m^{5+6} = m^{11}$

Step 2: Simplify the fraction

Next, simplify the fraction by applying the quotient of powers property, which states that when dividing two exponents with the same base, you subtract the exponents:

$\frac{m^{11}}{m^{4}} = m^{11-4} = m^{7}$

So, the simplified expression is:

$m^{7}$

Would you like more details, or do you have any questions?

Here are 5 related questions to expand your understanding:

1. How would you simplify $\frac{a^{8} \cdot a^{2}}{a^{3}}$?
2. What if you had $\frac{x^{7} \cdot x^{5}}{x^{9}}$?
3. How can you simplify $\frac{p^{10} \cdot p^{4}}{p^{2}}$?
4. What if the exponent in the denominator was larger, e.g., $\frac{b^{6} \cdot b^{3}}{b^{10}}$?
5. How would the expression change if the exponents were negative, such as $\frac{m^{-3} \cdot m^{5}}{m^{-2}}$?

Tip: When working with exponents, remember that adding and subtracting exponents only applies when the bases are the same.