SOLUTION: Multiply and then simplify by factoring. sqrt(2^109)sqrt(x^306)sqrt(x^11)

Algebra ->  Radicals -> SOLUTION: Multiply and then simplify by factoring. sqrt(2^109)sqrt(x^306)sqrt(x^11)       Log On


   

Question 210006This question is from textbook Intro Algebra
: Multiply and then simplify by factoring.
sqrt(2^109)sqrt(x^306)sqrt(x^11)
 This question is from textbook Intro Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply then simplify by factoring:
%28sqrt%282%5E109%29%29%2A%28sqrt%28x%5E306%29%29%2A%28sqrt%28x%5E11%29%29 This can be expressed as:
sqrt%28%282%5E109%29%2A%28x%5E306%29%2A%28x%5E11%29%29 Multiply the x's by adding their exponents.
sqrt%28%282%5E109%29%2A%28x%5E317%29%29 and this can be written as:
sqrt%282%282%5E108%29%2Ax%28x%5E316%29%29
Now 2%5E108+=+%282%5E54%29%5E2 so you can take the square root of sqrt%282%5E108%29+=+2%5E54 and move it out from under the radical sign.
Similarly with sqrt%28x%5E316%29+=+x%5E158, so you get:
2%5E54%2Ax%5E158%2Asqrt%282x%29