0. Review of Algebra

Simplify by reducing the index of the radical. $\sqrt[9]{x^6{y}^3}$

Calculate each value mentally. (0.25³)(400³)

Calculate each value mentally. (24²)(0.5²)

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)

Calculate each value mentally. 15⁴/5⁴

Calculate each value mentally. (0.2^2/3)(40^2/3)

In Exercises 111–114, simplify each expression. Assume that all variables represent positive numbers. (x^−5/4y^1/3x^−3/4)⁻⁶

In Exercises 107–114, simplify each exponential expression. Assume that variables represent nonzero real numbers. (2^−1x^−3y^−1)^−2(2x^−6y^4)^−2(9x^3y^−3)^0/(2x^−4y^−6)^2