Question

Nomial in the denominator. Simplify your answer. (14x^(7)+20x^(6)-21x^(3))/(14x^(3))

Answer 1

To simplify the expression (14x^(7)+20x^(6)-21x^(3))/(14x^(3)), divide each term in the numerator by the denominator and simplify.

Step-by-step explanation:

To simplify the expression (14x^(7)+20x^(6)-21x^(3))/(14x^(3)), we can divide each term in the numerator by the denominator. This can be .done by using the quotient rule for exponents:

(14x^(7))/(14x^(3)) + (20x^(6))/(14x^(3)) - (21x^(3))/(14x^(3))

Now, simplify each term: x^(7-3) + (10/7)x^(6-3) - (21/14)

This simplifies to: x^4 + (10/7)x^3 - (3/2)