SOLUTION: I need help :) Page 526 Number 22 I have to simplify and assume that all variables represent positive numbers... square root 64x^8

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need help :) Page 526 Number 22 I have to simplify and assume that all variables represent positive numbers... square root 64x^8      Log On


   

Question 145303This question is from textbook Beginning Algebra
: I need help :)
Page 526
Number 22
I have to simplify and assume that all variables represent positive numbers...
square root 64x^8 This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression


Convert the expression from radical notation to exponent notation. Remember


Rewrite 64 as 64%5E1


Now distribute the exponent Now distribute the outer exponent 1%2F2 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29

Now multiply the exponents

Reduce

Now convert back to radical notation


Take the square root of 64 to get 8


So