Question

simplify. express your answer as a single term using exponents.\\(\frac{815^{7}}{815^{2}}\\)

Explanation:

Step1: Recall the quotient rule for exponents

The quotient rule for exponents states that for any non - zero number \(a\) and integers \(m\) and \(n\), \(\frac{a^{m}}{a^{n}}=a^{m - n}\). Here, \(a = 815\), \(m = 7\) and \(n=2\).

Step2: Apply the quotient rule

Substitute the values of \(a\), \(m\) and \(n\) into the formula. So, \(\frac{815^{7}}{815^{2}}=815^{7 - 2}\)

Step3: Simplify the exponent

Calculate \(7-2 = 5\). So, \(815^{7 - 2}=815^{5}\)

Answer:

\(815^{5}\)