Question

simplify. express your answer as a single term using exponents.\\(\frac{119^{6}}{119^{2}}\\)

Explanation:

Step1: Recall the quotient rule for exponents

The quotient rule states that for any non - zero number \(a\) and integers \(m\) and \(n\), \(\frac{a^{m}}{a^{n}}=a^{m - n}\). Here, \(a = 119\), \(m = 6\) and \(n=2\).

Step2: Apply the quotient rule

Using the formula \(\frac{a^{m}}{a^{n}}=a^{m - n}\), we substitute \(a = 119\), \(m = 6\) and \(n = 2\) into it. So we have \(\frac{119^{6}}{119^{2}}=119^{6 - 2}\).

Step3: Simplify the exponent

Calculate \(6-2 = 4\). So \(119^{6 - 2}=119^{4}\).

Answer:

\(119^{4}\)