Simplify: (16x^8 y^6)^1/2

4 x^4 y^3

How did you come up with that answer, I would like to learn how to work it out.

To simplify the expression (16x^8 y^6)^(1/2), we can use the properties of exponents.

First, let's simplify the inside of the parentheses. We can split 16 into its square root and rewrite the expression as:

√(16x^8 y^6)

Now, we can apply the square root to each term inside the parentheses:

√(16) * √(x^8) * √(y^6)

The square root of 16 is 4, so we simplify further:

4 * x^(8/2) * y^(6/2)

The exponents inside the square root divide by 2, giving us:

4 * x^4 * y^3

Therefore, the simplified expression is 4x^4y^3.