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.

Learn how to simplify the exponential expression m^5 * m^6 / m^4 step-by-step. This problem involves applying properties of exponents, including multiplication and division rules. Suitable for Grades 7-9.

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