Question

Por favor me ajudem a resolver expoente negativo
A ) (5/8)^-2
B) 3/4)^3
C) (9/11)^-6
D) 3^-4
E) (m^-5
F) x^-7

Answer 1

Resposta:

ver a explicação

Explicação passo-a-passo:

$\boxed{a^{-n}=\frac{1}{a^n};\\\\\,\,\,\,\,\,\,\,\,\,\,(\frac{a}{b})^{-n}=(\frac{b}{a})^n}$

$A)(\frac{5}{8})^{-2}=(\frac{8}{5})^2=\frac{64}{5}\\B)(\frac{3}{4})^3=\frac{27}{64}\\C) (\frac{9}{11})^{-6}=(\frac{11}{9})^6}=(\frac{11^6}{9^6})\\D) 3^-4=(\frac{1}{3})^4=\frac{1}{81}\\E) (m^-5=(\frac{1}{m})^5=\frac{1}{m^5}\\F) x^-7=(\frac{1}{x})^7=\frac{1}{x^7}$

Answer 2

Explicação passo-a-passo:

A ) (5/8)^-2

(8/5)^2=56/25

B) (3/4)^3

26/64

C) (9/11)^-6

(11/9)^6=1771561/531441

D) 3^-4

(1/3)^4=1/81

E) (m^-5

(1/m)^5=1/m^5

F) x^-7

(1/x)^7=1/x^7