Question

The value of 2^-3x3^-2

Answer 1

`(1)/(72)`

Explanation:

Using the rule of exponents

`a^(-m)` ⇔
`(1)/(a^(m) )` thus

`2^(-3)` =
`(1)/(2^(3) )` =
`(1)/(8)`

`3^(-2)` =
`(1)/(3^(2) )` =
`(1)/(9)`

Then

`(1)/(8)` ×
`(1)/(9)` =
`(1)/(72)`

Answer 2

1/72.

Explanation:

2^-3 = 1 / 2^3 = 1/8.

3^-2 = 1/3^2 = 1/9

So the answer is 1/8 * 1/9

= 1/72.