expressions to 3^7⋅3^−9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)

Answer 1

To simplify the expression \(3^7 \cdot 3^{-9}\) with only positive exponents, we can use the rule of exponents \(a^m \cdot a^n = a^{m+n}\).

Therefore,
\[
3^7 \cdot 3^{-9} = 3^{7+(-9)} = 3^{-2}
\]

To solve the expression \(3^{-2}\), we can rewrite it as a fraction with positive exponents. Recall that \(a^{-n} = \frac{1}{a^n}\).

So, \(3^{-2} = \frac{1}{3^2} = \frac{1}{9}\).

Therefore, the simplified fraction is \(\frac{1}{9}\).