# Algebra-Exponents

### 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 $(3x^{2}+x-8)(x^{3}+8)\,$

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

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

solution Find the sum of ${\frac {x^{2}+1}{x-2}}\,$ and ${\frac {x^{2}-1}{x-2}}\,$

solution Find the sum of the rational expressions ${\frac {x+1}{(x-1)^{2}}}\,$ and ${\frac {1}{x+1}}\,$

solution Find the sum of ${\frac {x^{2}+x-1}{x^{2}-1}}\,$ and ${\frac {x+1}{x^{3}+2}}\,$

ALGEBRA BOOKS

solution Express ${\frac {x+4}{x+2}}-{\frac {x-1}{x-2}}\,$ as a rational expression.

solution Simplify ${\frac {3}{x-1}}-{\frac {2}{x}}+{\frac {x+3}{(x+1)(x-1)}}\,$

solution What rational expression should be subtracted from ${\frac {2x^{2}+2x-7}{x^{2}+x-6}}\,$ to get ${\frac {x-1}{x-2}}\,$

solution Express the following as a rational expression ${\frac {[{\frac {x^{2}-1}{x^{2}-25}}]}{[{\frac {x^{2}-4x-5}{x^{2}+4x-5}}]}}\,$ in its lowest terms.