Question

How do you simplify `root3(54e^9x)`?

Answer 1

Answer = `3.e^3.root(3)(2x)`

Explanation:

One of the simplest way is to find the multiples of 54.

`54 = 3xx3xx3xx2`
Now `root(3)54=root(3)(3xx3xx3xx2)`
`root(3)54=root(3)(3^3xx2)`
`root(3)54=3.root(3)(2)` ------> `root3(3^3)=3`

So now we go back to the original question:

`root(3)(54e^9x)`
We simply as follows:
`root(3)54xxroot(3)e^9xxroot(3)x`
`root(3)54=3.root(3)(2) xx e^(9xx1/3) xx root(3)x`
`root(3)54=3.root(3)(2) xx e^(3) xx root(3)x`
`3.e^3.root(3)(2x)`