Simplify the following and leave your answer in exponential form. (Example: write 525^25

Question

2
not 252525 ).

1318136\frac{13^{18}}{13^{6}}
13
6

13
18

​

Answer 1

To simplify the expression \(\frac{13^{18}}{13^{6}}\), you can use the property of exponents that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, we have \(a = 13\), \(m = 18\), and \(n = 6\).

Applying the property:

\[ \frac{13^{18}}{13^{6}} = 13^{18 - 6} = 13^{12} \]

Thus, the simplified answer in exponential form is:

\[ \boxed{13^{12}} \]