Question

Using the quotient rule, what is the exponent of X?

Answer 1

Explanation:

The expression that we have is:

`(x^6y^(14))/(x^4y^9)`

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:

`(A^m)/(A^n)=A^(m-n)`

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:

`(x^(6)y^(14))/(x^(4)y^(9))=x^(6-4)y^(14-9)`

Step 3. Solving the subtractions in the exponents:

`x^2y^5`

The exponent on x is 2.

Answer:

2