Explanation:
The expression that we have is:
[tex]\frac{x^6y^{14}}{x^4y^9}[/tex]
And we need to use the quotient rule to find the exponent of x.
Step 1. The quotient rule or division rule for exponents is:
[tex]\frac{A^m}{A^n}=A^{m-n}[/tex]
Where A is the case and m and n are the exponents. We need to apply this rule both to x and y in our expression.
Step 2. Applying the quotient rule the result is:
[tex]\frac{x^{6}y^{14}}{x^{4}y^{9}}=x^{6-4}y^{14-9}[/tex]
Step 3. Solving the subtractions in the exponents:
[tex]x^2y^5[/tex]
The exponent on x is 2.
Answer:
2
