Question

(9 x 10^-3)^2 simplify and write in scientific notation

Answer 1

8.1x10^-5

Explanation:

Answer 2

`(9 * 10^(-3))^2` can be written in scientific notation as
`8.1 * 10^(-5)`

Explanation:

A number is written in scientific notation if it can be written as
`p * 10^x` where p has value greater than or equal to 1 and less than 10 and x is an integer.

Given -
`(9 * 10^(-3))^2`

First applying
`(ab)^2=a^2b^2`

We get,
`(9 * 10^(-3))^2=9^2 * (10^(-3))^2`

using property of exponents
`(a^n)^m=a^(nm)`

`9^2 * (10^(-3))^2=81 times 10^(-6)`

Thus, we have to write
`81 times 10^(-6)` in scientific notation,

Multiply and divide by 10 , we get

`81 times 10^(-6)=8.1 * 10^(-5)`

Thus,
`(9 * 10^(-3))^2` can be written in scientific notation as
`8.1 * 10^(-5)`