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) * 3^(-2)`

We have to find the value of expression

We know that,

`a^(-n) = (1)/(a^n)`

Therefore,

`2^(-3) * 3^(-2) = (1)/(2^3) * (1)/(3^2)`

We know that,

`a^2 = a * a`

Similarly,

`2^(-3) * 3^(-2) = (1)/(2 * 2 * 2) * (1)/(3 * 3)\\\\Simplify\\\\2^(-3) * 3^(-2) = (1)/(8) * (1)/(9)\\\\2^(-3) * 3^(-2) = (1)/(72)\\\\Simplify\\\\2^(-3) * 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