Question

Express this number in standard (decimal number) form.
10-2

Answer 1

`10^(-2) = 0.01`

Explanation:

Given

`10^{-2`

Required

Standard form

`10^{-2`

Apply the following law of indices

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

So, we have:

`10^(-2) = (1)/(10^2)`

Express
`10^2` as
`100`

`10^(-2) = (1)/(100)`

Using a calculator, we have:

`10^(-2) = 0.01`