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

1 Answer
May 6, 2018

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)