The expression in the image is:

$\frac{x^{14} \cdot x^5}{x^7}$

Let's simplify this step by step.

Step 1: Apply the product of powers rule

When multiplying two terms with the same base, you add their exponents:

$x^{14} \cdot x^5 = x^{14 + 5} = x^{19}$

Step 2: Apply the quotient of powers rule

When dividing terms with the same base, subtract the exponent of the denominator from the exponent of the numerator:

$\frac{x^{19}}{x^7} = x^{19 - 7} = x^{12}$

Final Simplified Expression:

$x^{12}$

Would you like further details or have any questions?

Here are 5 related questions:

1. How would you simplify $\frac{x^8 \cdot x^3}{x^4}$?
2. What is the result of $\frac{y^{15} \cdot y^5}{y^6}$?
3. How can you simplify $\frac{a^{10} \cdot a^2}{a^8}$?
4. What happens when the exponents in the numerator and denominator are equal?
5. How would you handle an expression like $\frac{x^5 \cdot x^{-2}}{x^3}$?

Tip: Remember that multiplying terms with the same base involves adding exponents, while dividing terms involves subtracting exponents!