Algebra-Exponents

From Exampleproblems

Integer

solution Evaluate $(x-2y)(x^2+2xy+4y^2)\,$

solution Evaluate $(2x+3y)(4x^2-6xy+9y^2)\,$

solution Evaluate $(3x-4)+(x+2)+(3x^2+x-8)+(x^3+8)\,$

solution Evaluate $(3x^2+x-8)(x^3+8)\,$

ALGEBRA BOOKS

solution Evaluate $(x-2y)^3\,$

solution Evaluate $(3x+2y)^3\,$

solution $(2a^{-3}b^2)^{-2}\,$

solution $\left(\frac{a^3}{b^5}\right)^{-2}\,$

solution $\frac{4x^{-3}y^{-5}}{6x^{-4}y^3}\,$

solution $\left(\frac{m^{-3}m^3}{n^{-2}}\right)^{-2}\,$

solution $\left((-9)^{3/4}\right)^2\,$

solution $\left(-9^{3/4}\right)^2\,$

solution $\left((0.5^{-2})\right)^2\,$

solution $\left(\frac{l^4 m^3}{n^2}\right)^{-4}\,$

Rational

solution $(-32)^\frac{1}{5}\,$

solution $\frac{\left(x^2y^{-3}z^{-1}\right)^{-2}}{\left(x^{-1}y^2z^3\right)^{1/2}}\,$

solution $(64)^\frac{1}{4}\ (81)^\frac{1}{2}\,$

solution $\frac{(60^3)(128^2)}{(27^2)(48)}\,$

solution $(3^2)(3^9)(3^{12})\,$

solution $(a^\frac{1}{2}+b^\frac{1}{2})(a^\frac{1}{2}-b^\frac{1}{2})\,$

solution $(a^\frac{1}{3}+b^\frac{1}{3})(a^\frac{2}{3}-(a^\frac{1}{3})(b^\frac{1}{3})+b^\frac{2}{3})\,$

solution $(a^\frac{1}{3}+b^\frac{1}{3}+c^\frac{1}{3})(a^\frac{2}{3}-(a^\frac{1}{3})(b^\frac{1}{3}-(b^\frac{1}{3})(c^\frac{1}{3})-(c^\frac{1}{3})(a^\frac{1}{3})+b^\frac{2}{3}+c^\frac{2}{3})\,$