Question

How do you simplify `10^a * 10^b * 10^c`?

Answer 1

`10^a*10^b*10^c = 10^(a+b+c)`

Explanation:

This is easiest to see if `a, b, c` are positive integers:

`10^a*10^b*10^c`

`=overbrace(10xx10xx..xx10)^"a times" xx overbrace(10xx10xx..xx10)^"b times" xx overbrace(10xx10xx..xx10)^"c times"`

`=overbrace(10xx10xx..xx10)^"a + b + c times"`

`=10^(a+b+c)`

In fact, this works for any Real values of `a`, `b` and `c`.