Question

6 13⁷ ÷ 13⁴

Explanation:

Step1: Recall exponent rule for division

For any non - zero base \(a\) and integers \(m\) and \(n\) (\(m>n\)), \(a^{m}\div a^{n}=a^{m - n}\). Here, the base \(a = 13\), \(m = 7\) and \(n=4\).

Step2: Apply the exponent rule

\(13^{7}\div13^{4}=13^{7 - 4}\)

Step3: Simplify the exponent

\(7-4 = 3\), so \(13^{7 - 4}=13^{3}\)

Step4: Calculate \(13^{3}\)

\(13^{3}=13\times13\times13=169\times13 = 2197\)

Answer:

\(2197\)