Converting centiliters to nanoliters: can you please explain the process of this? 35.7cL = ?nL

So, you're dealing with a that must get you from ##"cL"##, or centiliters, to ##"nL"##, or nanoliters.

One centiliter is equal to ##10^(-2)"L"##, and one nanoliter is equal to ##10^(-9)"L"##, so you're going from something small to something even smaller. This means that the result must be a bigger number than 35.7, since there are more nanoliters in a liter than there are centiliters in a liter.

You can do this by going to liters first

##"35.7 cL" * ("1 L")/(10^2 "cL") * (10^9"nL")/("1 L") = 35.7 * 10^(7)"nL"##

or by going directly from centiliters to nanoliters

##"35.7 cL" * ("1 nL")/(10^(-7)"cL") = 35.7 * 10^(7)"nL"##

Because 1 liter has ##10^2## centiliters and ##10^9## nanoliters, one centiliter will have

##"1 cL" * ("1 nL")/(10^(-7)"cL") = 10^7"nL"##

like this one will become a walk in the park once you'll get comfortable with the