Questions: Simplify. x^5/x^3

Solution Steps

To simplify the expression \(\frac{x^{5}}{x^{3}}\), we can use the quotient rule of exponents, which states that \(\frac{a^m}{a^n} = a^{m-n}\) for any non-zero number \(a\) and integers \(m\) and \(n\). Applying this rule, we subtract the exponent in the denominator from the exponent in the numerator.

To simplify the expression \(\frac{x^{5}}{x^{3}}\), we use the quotient rule of exponents, which states: \[ \frac{a^m}{a^n} = a^{m-n} \] where \(a\) is a non-zero number, and \(m\) and \(n\) are integers.

Using the quotient rule, we subtract the exponent in the denominator from the exponent in the numerator: \[ \frac{x^{5}}{x^{3}} = x^{5-3} \]

Perform the subtraction in the exponent: \[ x^{5-3} = x^{2} \]

Final Answer