Question

Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3 superscript −17/8 superscript −14
with positive exponents only.

Enter your answer as a fraction in simplest form.

(1 point)
3 superscript −17/8 superscript −14=

Answer 1

To rewrite the expression \( 3^{-17} \cdot 8^{-14} \) using the property of negative exponents, we utilize the fact that \( a^{-n} = \frac{1}{a^n} \).

Applying this property to each part of the expression:

\[
3^{-17} \cdot 8^{-14} = \frac{1}{3^{17}} \cdot \frac{1}{8^{14}} = \frac{1}{3^{17} \cdot 8^{14}}
\]

Now, we can express our final answer in fraction format:

\[
3^{-17} \cdot 8^{-14} = \frac{1}{3^{17} \cdot 8^{14}}
\]

This is the equivalent expression with positive exponents only.