Question

Question 92

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

Answer 1

Using the law of exponents,
$a^m\times a^n=(a{)}^{m+n}and{a}^{-m}=\frac{1}{a^m}$

$\therefore 3^{-5}\times 3^{-4}=(3{)}^{-5-4}=(3{)}^{-9}=\frac{1}{3^9}$