Question

2^-3 x 3^-2 2 to the power of negative 3 times by 3 to the power of negative 2

Answer 1

The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889

Solution:

Given that:

$2^{-3} \times 3^{-2}$

We have to find the value of expression

We know that,

$a^{-n} = \frac{1}{a^n}$

Therefore,

$2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}$

We know that,

$a^2 = a \times a$

Similarly,

$2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889$

Thus value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889