Multiplication with letters
You can multiply letters just as well with each other as digits
Explanation
You can multiply all letters with each other
a × a × a × a × b × c = aaaa b c
= a4 b c
If there are digits in front of the letters you must calculate these first
2a × 3b × 4c = 2 × a × 3 × b × 4 × c
= 2 × 3 × 4 × a × b × c
= 24 a b c
With the same letters you get
2a × 3a × 4b × 5c = 2 × a × 3 × a × 4 × b × 5 × c
= 2 × 3 × 4 × 5 × a a × b × c
= 120 a2 b c
Signs must be processed before all
−a × 3b × −4b × c = − × a × 3 × b × − × 4 × b × c
= − × − × 3 × 4 × a × bb × c
= 12 a b2 c
And finally also
−2a × 3b3 × −4b × −2c = − × 2 × a × 3 × bbb × − × 4 × b × − × 2 × c
= − × − × − × 2 × 3 × 4 × 2 × a × bbbb × c
= −48 a b4 c
Example 1
The calculation 23 × e × π = 196.4138… can be written as
because letters always form a multiplication.