SOLUTION: Simplify by factoring. {{{sqrt((x + 5)^12)}}}

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Question 171983This question is from textbook Introductory Algebra
: Simplify by factoring.
sqrt%28%28x+%2B+5%29%5E12%29 This question is from textbook Introductory Algebra

Answer by bob123132(33) About Me  (Show Source):
You can put this solution on YOUR website!
Alright I have not done this for a while but ill try and take a stab at this.
Alright it is safe to say that a square root is a fractional exponent correct?
Since it is that there is a format. The type of root, (square, cubic, 5th root, 20th root or whatever) always goes onto the denominator of the fraction of the exponent. Then if there are any exponents they go on the numerator. EX: sqrt%28x%29 is equal to x%5E%281%2F2%29 because any number or variable always has a 1 exponent. And since a SQUARE root is 2 then it is the denominator. It is no different for this question
sqrt%28%28x+%2B+5%29%5E12%29 is equal to %28x%2B5%29%5E%2812%2F2%29 because the SQUARE (2) goes to the denom. and the power(12) goes to the numerator. Simplify it more is %28x%2B5%29%5E%286%2F1%29 and remove the 1 because anything divisible by one is itself. and furthest simplified is %28x%2B5%29%5E6
That should be it.