Final answer:
To simplify the expression x^14/x, we subtract the exponent of the denominator from the numerator's exponent, resulting in x^13.
Step-by-step explanation:
When simplifying the expression x^14/x, we use the rule for the division of exponentials. According to the properties of exponents, when you divide exponential terms with the same base, you subtract the exponents. So in this case, we subtract the exponent of the denominator (x) from the exponent of the numerator (x^14).
Here is the step-by-step simplification:
1. Identify the base and the exponents in both the numerator and the denominator. The base is 'x' in both, the numerator's exponent is 14, and the denominator's exponent is 1 (since x is the same as x^1).
2. Subtract the denominator's exponent from the numerator's exponent: 14 - 1 = 13.
3. Write the resulting expression with the base and the new exponent: x^13.
Therefore, the expression x^14/x simplifies to x^13.