How do you simplify this expression #4c^4sqrt(64c^9 x^6)#?

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Answer 1 · 2018-03-24T15:38:27

#=>32c^(17/2)x^3#

We start with:

#4c^4sqrt(64c^9 x^6)#

Taking the square root is equivalent to raising to the #1/2# power.

#=>4c^4(64c^9x^6)^(1/2)#

#=>4c^4(8c^(9/2)x^3)#

Now we distribute the #4c^4# into the quantity we took the square root of.

#=>32c^((4+9/2))x^(3)#

#=>32c^(17/2)x^3#