Question

Divide using the quotient rule. (16x^(3)y^(9))/(2x^(2)y^(2))

Answer 1

To divide using the quotient rule, divide the coefficients and subtract the exponents for each variable. In this case, the quotient is 8xy^7.

Step-by-step explanation:

To divide using the quotient rule, we divide the coefficients and subtract the exponents for each variable. In this case, we have (16x^3y^9)/(2x^2y^2). Dividing the coefficient 16 by 2 gives us 8. Then, subtracting the exponents, we have x^(3-2) and y^(9-2). Simplifying further, we get 8x and y^7. Therefore, the quotient is 8xy^7.