Question

How do you evaluate `3\cdot 10^ { 4} \cdot 5.3\times 10^ { - 23}`?

Answer 1

`15.9*10^-19`

Explanation:

`3*10^4*5.3*10^-23`

To evaluate, we gather the powers of 10 aside:
`(3*5.3)*(10^4*10^-23)`
We do the power of 10's calculations alone using the formula:
`a^x*a^y=a^(x+y)`

We get:
`(3*5.3)*10^(-23+4)`
`15.9*10^-19`

Answer 2

`10^-19*15.9`

Explanation:

`3*10^4*5.3*10^-24`

`:.=10^(4+(-24))*3*5.3`

`:.=10^-19*15.9`