We have been given the product
[tex](1.18 \times 10^3) \cdot (9.1 \times 10^{-6})[/tex]
First of all we multiply 1.18 and 9.1. On multiplying, we get
[tex]1.18 \times 9.1 = 10.738[/tex]
Now, we multiply
[tex]10^3 \text{ and } 10^{-6}[/tex]
Using the exponent property [tex]x^a \times x^b = x^{a+b}[/tex], we get
[tex]10^3 \times 10^{-6} \\
\\
=10^{3-6}\\
\\
=10^{-3}[/tex]
Therefore, we have the product
[tex]10.738\times 10^{-3}[/tex]
In scientific notation the product is
[tex]10.738\times 10^{-3}= 1.0738\times 10^{-2}[/tex]
A is the correct option.
