Question

Calcule as seguintes potências e escreva o grau do monomio obtido.

A) (-3x^3y^4)^2

B) (8x^-3y^-2 z^-1)^-2

C) (5/8 a^5 b^2 x^3)^1

D) 2005/7 x^5 y^10)0

E) (-1/3 x^5 y^2 g^3)^4)

F)95/3 x^3 m^5 a^2 y)3

Answer 1

Sabemos que o grau do monomio é a soma dos expoentes da parte literal

$a) \\ (-3x^3y^4)^2=9x^6y^8 \mapsto 6+8=14\º~grau \\ \\ b) \\ (8x^{-3}y^{-2}z^{-1})^{-2}= \frac{1}{64} x^6y^4z^2\mapsto 6+4+2=12\º~grau \\ \\ c) \\ ( \frac{5}{8} a^5b^2x^3)^1= \frac{5}{8} a^5b^2x^3\mapsto5+2+3=10\º~grau \\ \\ d) \\ ( \frac{2005}{7} x^5y^{10})^0=1\mapsto grau~~zero~~(sem~~parte~~literal) \\ \\ e) \\ (- \frac{1}{3} x^5y^2g^3)^4= \frac{1}{81} x^{20}y^8g^{12}\mapsto20+8+12=40\º~grau \\ \\ f) \\ ( \frac{5}{3} x^3m^5a^2y)^3= \frac{125}{27} x^9m^{15}a^6y^3=\mapsto=9+15+6+3=33\º~grau$