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

Answer 1

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

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)#

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Answer 2

Savannah Anderson

To simplify √3(54e^9x), you can first simplify the expression inside the square root: 54e^9x can be broken down into 54 and e^9x. Then, √3(54e^9x) becomes √3(54)√3(e^9x). Simplify each part separately: √3(54) equals 6√3, and √3(e^9x) remains unchanged. So, the simplified expression is 6√3e^(9x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.