SOLUTION: Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers. (4x^5y^−1/4)^2(64y^−3/2)^−1/3

Algebra ->  Exponents -> SOLUTION: Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers. (4x^5y^−1/4)^2(64y^−3/2)^−1/3      Log On


   



Question 660189: Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.
(4x^5y^−1/4)^2(64y^−3/2)^−1/3

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
 

Write the 4 as 22 and the 64 as 26



Remove the parentheses by multiplying each exponent inside
each pair of parentheses by the exponent just outside the
right parenthesis:







To multiply we add the exponents of 2 and the exponents of y:

matrix%282%2C1%2C%22%22%2C2%5E2%2Ax%5E10%2Ay%5E%28-1%2F2%2B1%2F2%29++%29

matrix%282%2C1%2C%22%22%2C4%2Ax%5E10%2Ay%5E0++%29

matrix%282%2C1%2C%22%22%2C4%2Ax%5E10%2A1++%29

4x10

Edwin