Q:

Simplify. −64x6y9−−−−−−−√3 assume all variables are nonnegative.

Accepted Solution

A:
In this item, I take it that we are to get  the cube root of the given expression, -64x6y9. First, we look into the numerical coefficient, this is the product when -4 is multiplied to itself three times as shown below.

    -64 = (-4)(-4)(-4)

Then, 
   x6 = x2 (x2) (x2)

and,
    y9 = (y3)(y3)(y3)

If we take the cube root, we consider only one item per product. Thus, the answer is,
    
    -4x²y³