[mission]

I am an adult learning high school chemistry on my own.

My first lesson is on unit conversions, I was able to complete the first question on my own but for the second question, I was stuck with the multiplication of exponents.

The equation was: 5.5 mol x (6.02 x 10²³ atoms)/ 1 mol

The answer to that was: 3.3 x 10²⁴ atoms

How does multiplication of exponents works? How did 10²³ becomes 10²⁴?

[Borek]

5.5 × 6.02 × 10²³ = 33.11 × 10²³ = 3.311 × 10 × 10²³ = 3.311 × 10²⁴

That's because

10³ = 10 × 10 × 10

and

10 × 10³ = 10 × 10 × 10 × 10 = 10⁴

This is a very basic math. In general, be prepared to brush your math before dealing with chemistry.

[Arkcon]

The equation was: 5.5 mol x (6.02 x 10²³ atoms)/ 1 mol

The answer to that was: 3.3 x 10²⁴ atoms

How does multiplication of exponents works? How did 10²³ becomes 10²⁴?

Reinforcing what Borek: said, what did you write for an answer?  Did you write 33.11 x 10²³, because that's simply not the way we write scientific notation?  We have to write 3.31, and so we have to increase the exponent.  Caution: you will also have to pay attention to significant figures.

[mission]

5.5 × 6.02 × 10²³ = 33.11 × 10²³ = 3.311 × 10 × 10²³ = 3.311 × 10²⁴

That's because

10³ = 10 × 10 × 10

and

10 × 10³ = 10 × 10 × 10 × 10 = 10⁴

This is a very basic math. In general, be prepared to brush your math before dealing with chemistry.

Thank you for the help.

Yes, It's has been some time since I've completed Math.

Chemistry seems tough, I hope to get through it.

[mission]

The equation was: 5.5 mol x (6.02 x 10²³ atoms)/ 1 mol

The answer to that was: 3.3 x 10²⁴ atoms

How does multiplication of exponents works? How did 10²³ becomes 10²⁴?

Reinforcing what Borek: said, what did you write for an answer?  Did you write 33.11 x 10²³, because that's simply not the way we write scientific notation?  We have to write 3.31, and so we have to increase the exponent.  Caution: you will also have to pay attention to significant figures.

I didn't write anything for this question because it was presented in scientific notation and I was stumped with scientific notation.

Ok, I must always write it as x.xx. If it is xxx.xx, I will convert it to x.xx * 10². I wrote 10² because I moved 2 decimal places.

Thanks for teaching.