Question

Simplify the expression. The simplified expression should have no negative exponents. $$\frac{x^{3}}{x^{2}}$$

Short answer

The simplified expression is 'x'.

Step-by-step solution

Identify Like Bases

Here, \(x^{3}\) and \(x^{2}\) are like bases because they both have the same base 'x'.

Apply the Rule of Exponents for Division

When dividing like bases, you subtract the exponents. Here, subtract the exponent of the denominator from the exponent of the numerator: \(x^{(3-2)} = x^{1}\)

Simplify the Result

\(x^{1}\) simplifies to 'x' as any number raised to the power of 1 is the number itself.