Question

Divide and simplify. Assume that all variables are positive.

Answer 1

`2y√(2x)`

Explanation:

For this we have to divide like normally but for the exponents we will subtract them since this is a division problem. We would've added them if we were multiplying.

`(√(32x^5y^8))/(√(4x^4y^6))=√(8xy^2)`

Now we will split the 8 into 4 and 2. Also we can take the square root of y² while we're at it.

`y√(4)√(2x)`

Now we take the square root of 4.

`2y√(2x)`