Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17/8^−14

Question

with positive exponents only.(1 point)
^3−17/8^−14=

Answer 1

To rewrite the expression \( \frac{3^{-17}}{8^{-14}} \) with positive exponents only, we can use the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \).

Applying this to both the numerator and denominator:

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

Thus, the expression \( \frac{3^{-17}}{8^{-14}} \) with positive exponents only is:

\[ \frac{8^{14}}{3^{17}} \]