Answer:
[tex](9 \times 10^{-3})^2[/tex] can be written in scientific notation as [tex]8.1 \times 10^{-5}[/tex]
Step-by-step explanation:
A number is written in scientific notation if it can be written as [tex]p \times 10^x[/tex] where p has value greater than or equal to 1 and less than 10 and x is an integer.
Given - [tex](9 \times 10^{-3})^2[/tex]
First applying [tex](ab)^2=a^2b^2[/tex]
We get, [tex](9 \times 10^{-3})^2=9^2 \times (10^{-3})^2[/tex]
using property of exponents [tex](a^n)^m=a^{nm}[/tex]
[tex]9^2 \times (10^{-3})^2=81 times 10^{-6}[/tex]
Thus, we have to write [tex]81 times 10^{-6}[/tex] in scientific notation,
Multiply and divide by 10 , we get
[tex]81 times 10^{-6}=8.1 \times 10^{-5}[/tex]
Thus, [tex](9 \times 10^{-3})^2[/tex] can be written in scientific notation as [tex]8.1 \times 10^{-5}[/tex]
