Question

Simplify. x³/⁷ / x³/⁴ Write your answer using only a positive exponent.

Answer 1

To simplify x³/⁷ / x³/⁴, subtract the exponents and find a common denominator. The simplified expression is -3x³ / 28.

Step-by-step explanation:

To simplify the expression x³/⁷ / x³/⁴, we can use the rule of dividing exponents. When dividing two expressions with the same base, we subtract the exponents. In this case, we subtract the exponent of x³/⁴ from the exponent of x³/⁷. The result is x³/⁷ - x³/⁴. Now, to write this using only a positive exponent, we can find a common denominator for the two fractions and rewrite them with a common denominator. In this case, the common denominator is 28. So the expression becomes (4x³ - 7x³) / 28. Simplifying further, we get -3x³ / 28.