SOLUTION: Simplify each expression. Assume that all variables are positive when they appear. A. x^(2/3) • x^(1/2) • x^(-1/4) B. [(x^4)(y^8)]^(3/4)

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify each expression. Assume that all variables are positive when they appear. A. x^(2/3) • x^(1/2) • x^(-1/4) B. [(x^4)(y^8)]^(3/4)       Log On


   



Question 1208437: Simplify each expression. Assume that all variables are positive when they appear.
A. x^(2/3) • x^(1/2) • x^(-1/4)
B. [(x^4)(y^8)]^(3/4)







Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%282%2C1%2C%22%22%2C%0D%0Ax%5E%282%2F3%29%2Ax%5E%281%2F2%29%2Ax%5E%28-1%2F4%29%29

Add exponents to multiply powers 2%2F3%2B1%2F2-1%2F4

Get least common denominator of 12

8%2F12%2B6%2F12-3%2F12%22%22=%22%22%288%2B6-3%29%2F12%22%22=%22%2211%2F12

matrix%282%2C1%2C%22%22%2Cx%5E%2811%2F12%29%29  <--answer

-----------------------

%28%28x%5E4%29%28y%5E8%29%5E%22%22%29%5E%283%2F4%29

Multiply exponents to raise powers to powers:  4%2Aexpr%283%2F4%29=3, 8%2Aexpr%283%2F4%29=6

x%5E3%2Ay%5E6  <--answer

Edwin