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(6 x 10-3 g) ÷ (2 x 10-1 mL) =

User H W
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1 Answer

4 votes

Answer:

3 x 10⁻² g/mL

Step-by-step explanation:

First you need to remember when you are dividing an exponent by another exponent, you subtract the bottom exponent from the top exponent.

So 10⁻³ - 10⁻1 you would take ( -3) - ( -1). When you subtract a negative number you change it into a positive number and add it to the first.

It is ( -3) + ( 1). So 10⁻³ - 10⁻¹ = 10⁻². You added 1 to the -3.

Now you just have to divide the whole numbers 6 ÷ 2 = 3

Also include your units.

Putting it all back together, you end up with 3 x 10⁻² g/mL

If you want to check you math, convert both numbers to regular numbers:

6 x 10⁻³ = 0.006 and 2 x 10⁻¹ = 0.2 and 0.006/0.2 = 0.03

in scientific notation 0.03 is 3 x 10⁻²

User Odubah
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