Answer :

To convert a volume from microliters ([tex]$\mu L$[/tex]) to liters (L), we need to use the fact that 1 microliter is equal to [tex]$10^{-6}$[/tex] liters.

Here’s a step-by-step explanation of the conversion:

1. Understand the conversion factor:
[tex]\[ 1 \mu L = 10^{-6} L \][/tex]

2. Identify the given volume in microliters:
[tex]\[ 45.6 \mu L \][/tex]

3. Apply the conversion factor:
To convert microliters to liters, multiply the given volume in microliters by [tex]$10^{-6}$[/tex].
[tex]\[ 45.6 \mu L \times 10^{-6} \][/tex]

4. Perform the multiplication:
[tex]\[ 45.6 \times 10^{-6} L \][/tex]
Which is equivalent to:
[tex]\[ 45.6 \times 0.000001 L \][/tex]

5. Write the final result in liters:
[tex]\[ 0.0000456 L \][/tex]
Or in scientific notation:
[tex]\[ 4.56 \times 10^{-5} L \][/tex]

Therefore, [tex]$45.6 \mu L$[/tex] is equal to [tex]$4.56 \times 10^{-5}$[/tex] liters.