Question

How do you multiply `(5a)/(2b^3) * (4b^2)/a`?

Answer 1

As...
`axxb=bxxa`
You can write this as
`(5a)/axx(4b^2)/(2b^3`

This is a property of exponents
`a^b/a^c=a^(b-c`

The a's and the 2 cut each other out and the b's make it like this

`5xx2b^(2-3`
`5xx2b^(-1)`

Another law of exponents
`a^(-b)=1/a^b`

`5xx1/(2b`
`5/(2b`