To apply the property of negative exponents, recall that \( a^{-n} = \frac{1}{a^n} \). Using this property, we can rewrite the expression \( \frac{3^{-17}}{8^{-14}} \).
Starting with the expression:
\[ \frac{3^{-17}}{8^{-14}} \]
We can rewrite it as:
\[ \frac{1}{3^{17}} \div \frac{1}{8^{14}} = \frac{1}{3^{17}} \times 8^{14} = \frac{8^{14}}{3^{17}} \]
Thus, the expression equivalent to \( \frac{3^{-17}}{8^{-14}} \) with positive exponents is:
\[ \frac{8^{14}}{3^{17}} \]
So the correct response is:
8^14/3^17 (the fraction with numerator 8 to the 14th power and denominator 3 to the 17th power).