Which of the following is an equivalent expression to $$ \frac{14^{-7}}{9^{-13}} $$ with only positive exponents, generated by applying the Property of Negative Integer Exponents? (1 point) $$ \frac{1}{9^{13} \cdot 14^{-7}} $$ $$ 14^{-7} \cdot 9^{13} $$ o $$ \frac{9^{13}}{14^{7}} $$ $$ \frac{14^{7}}{9^{13}} $$

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$$ 14^{-7} \cdot 9^{13} $$ To solve this problem, we need to apply the Property of Negative Integer Exponents, which states that $$ a^{-n} = \frac{1}{a^n} $$. We will convert the negative exponents to positive exponents and then simplify the expression. Given expression: $$ \frac{14^{-7}}{9^{-13}} $$ First, we apply the property to each term: $$ \frac{1/14^7}{1/9^{13}} $$ Now, we can simplify by multiplying the numerators and the denominators: $$ \frac{1}{14^7} \cdot 9^{13} $$ This is equivalent to: $$ 9^{13} \cdot 14^{-7} $$ So, the correct answer is: $$ 9^{13} \cdot 14^{-7} $$ This matches option (2): $$ 14^{-7} \cdot 9^{13} $$

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