Step-by-step explanation:
[tex] \frac{ {13}^{6} \div {13}^{8} \times {13}^{ - 4} }{ {13}^{ - 2} } [/tex]
You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:
[tex] {13}^{6 - 8 + ( - 4) - ( - 2)} [/tex]
That is:
[tex] {13}^{ - 4} [/tex]
Or:
[tex] \frac{1}{ {13}^{4} } [/tex]
