Simplify by reducing the index of the radical. $\sqrt[12]{x^4{y}^8}$

Evaluate each expression for $p=-4$, $q=8$, and $r=-10$. $\(\frac{-(p + 2)^2 - 3r}{2 - q}\)$

Calculate each value mentally. (0.25³)(400³)

Perform the indicated operations. Assume all variables represent positive real numbers. $\(\sqrt\)[3]{64xy^2} + \(\sqrt\)[3]{27x^4y^5}$

In Exercises 107–114, simplify each exponential expression. Assume that variables represent nonzero real numbers. (3x−4 y z−7)(3x)−3

In Exercises 111–114, simplify each expression. Assume that all variables represent positive numbers. (49x−2y⁴)^−1/2(xy^1/2)

Perform the indicated operations. Assume all variables represent positive real numbers. $\(\sqrt\)[4]{81x^6y^3} - \(\sqrt\)[4]{16x^{10}y^3}$

Calculate each value mentally. 15⁴/5⁴