Question

Simplifique as frações algébricas

Answer 1

a) $\frac{x^4y}{x^6} =x^4x^-^6y = x^{4-6}y=x^-^2y = \frac{y}{x^2}$

b) $\frac{a^2b^2c}{a^4b^4} = a^2a^-^4b^2b^-^4c = a^{ 2-4}b^{2-4}c = a^{-2}b^{-2}c = \frac{c}{a^2b^2}$

c) $\frac{2n^{10}p^{7}}{10n^7p^7} = \frac{(2/2)n^{10}n^{-7}p^{7}p^{-7}}{(10/2)}=\frac{n^{10-7}p^{7-7}}{5} = \frac{n^{3}p^{0}}{5}=\frac{n^{3} 1}{5} = \frac{n^3}{5}$

d) $\frac{x^4y^4}{7x^3y^2} = \frac{x^4x^{-3}y^4y^{-2}}{7} = \frac{x^{4-3}y^{4-2}}{7} = \frac{x^1y^2}{7}= \frac{xy^2}{7}$

Espero ter ajudado!