You have a multiplication of numbers in scientific notation
[tex](2.233\times10^{-2})\times(3.2\times10^{-3})[/tex]To solve it start by multiplying the numbers that are not powers of 10:
[tex]2.233\times3.2=7.1456[/tex]Then multiply the powers of ten by adding the exponents:
[tex]10^{-2}\times10^{-3}=10^{(-2)+(-3)}=10^{-5}[/tex]Then, the product is:
[tex]7.1456\times10^{-5}[/tex]But, you need to take into account the rule to determine the number of significant figures in a multiplication:
The first number has 4 significant figures (2.233) and the second has 2 significant figures (3.2), then the number of significant figures in the answer have to be 2:
[tex]7.1\times10^{-5}[/tex]This will be the correct answer.
