Question

How to simplify `12 times 18 times 10^23` in scientific notation?

Answer 1

`2.16*10^25`

Explanation:

The scientific notation asks you to put numbers in the form

`a_0,a_1a_2a_3... * 10^k`

So, `12` becomes `1.2*10` and `18` becomes `1.8*10`.

The whole multiplication becomes

`1.2*10*1.8*10*10^23 = 1.2*1.8*10*10*10^23`

The numeric part is multiplied as usual: `1.2*1.8 = 2.16`
Powers of `10` are multiplied summing the exponents:
`10*10*10^23=10^{1+1+23}=10^25`.