fully simplify and write your answer in exponential form with positive exponents only. example : 1/5 3 not 5 little - 3. 13 little - 6 ÷ 13 ÷ 14 little -2 =

Answer 1

To simplify the expression \( 13^{-6} \div 13 \div 14^{-2} \), we follow these steps:

1. Rewrite the division as multiplication by the reciprocal:

   \[ 13^{-6} \div 13 = 13^{-6} \times 13^{-1} \]

   This simplifies to:

   \[ 13^{-6 - 1} = 13^{-7} \]

2. Now, rewrite the division by \( 14^{-2} \) as multiplication:

   \[ 13^{-7} \div 14^{-2} = 13^{-7} \times 14^{2} \]

3. Combine the expression:

   \[ 13^{-7} \times 14^{2} = \frac{14^{2}}{13^{7}} \]

4. Finally, we present the answer in exponential form with positive exponents:

   \[ \frac{14^2}{13^7} \]

Thus, the simplified expression is:

\[ \frac{14^{2}}{13^{7}} \]