Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17/8^−14 with positive exponents only.(1 point) 3^−17/8^−14=

Answer 1

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

1. Start with the original expression: \[ \frac{3^{-17}}{8^{-14}} \]

2. Apply the property of negative exponents: \[ = 3^{-17} \cdot 8^{14} \]

3. Rewrite \( 3^{-17} \): \[ = \frac{8^{14}}{3^{17}} \]

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