Question

Simplify. Please select the best answer from the choices provided

Answer 1

Your answer would be A. 1/243. The decimal is 0.00411522633.

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

The given expression is

$9^{-2.5}$

It can be written s

$9^{-2.5}=\frac{1}{9^{2.5}}$           $[\because x^{-n}=\frac{1}{x^n}]$

$9^{-2.5}=\frac{1}{(3^2)^{2.5}}$

$9^{-2.5}=\frac{1}{3^5}$                $[\because (x^m)^{n}=x^{mn}]$

$9^{-2.5}=\frac{1}{243}$

The value of given expression is $\frac{1}{243}$.

Therefore the correct option is A.