Question

Express $$3^{-5}\times 3^{-4}$$ as a power of $$3$$ with positive exponent.

Answer 1

Use $$a^m \times a^n =a^{m+n}$$ and $$a^{-m}=\dfrac{1}{a^m}$$
Therefore, $$\therefore 3^{-5}\times 3^{-4}=(3)^{-5-4}=(3)^{-9}=\dfrac{1}{3^9}$$