Question

Find the value of 2^-3 x 3^-2

Answer 1

`(1)/(72)`

Explanation:

Using the rule of exponents

`a^(-m)` ⇔
`(1)/(a^(m) )`, then

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

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

Hence

`2^(-3)` ×
`3^(-2)`

=
`(1)/(8)` ×
`(1)/(9)`

=
`(1(1))/(8(9))`

=
`(1)/(72)`

Answer 2

0.01388888888 or .0139

Explanation:

.125*.11111111111=0.01388888888 or .0139