Which of the following is an equivalent expression to 14^−7/9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents.

Answer 1

By applying the Property of Negative Integer Exponents, we know that $a^{-n}=\frac{1}{a^n}$ for any non-zero number $a$ and positive integer $n$.

Therefore, we can rewrite $14^{-7}$ as $\frac{1}{14^7}$, and $9^{-13}$ as $\frac{1}{9^{13}}$.

Therefore, the expression $14^{-7}/9^{-13}$ can be simplified as $\frac{\frac{1}{14^7}}{\frac{1}{9^{13}}}$.

Simplifying further, we get $\frac{1}{14^7} \cdot \frac{9^{13}}{1}$.

This is equivalent to $\frac{9^{13}}{14^7}$.

So, the expression 14^−7/9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents, is $\boxed{\frac{9^{13}}{14^7}}$.