Question

Calcule as potências em seu caderno :

a) $(\frac{3}{4})^{-2}$ =

b) $(-\frac{5}{4})^{-3}$ =

c) $10^{-3}$ =

d) $2^{-1}$ =

e) $(-6)^{-2}$ =

f) $(\frac{1}{9})^{-2}$ =

Answer 1

a)
$(\frac{3}{4})^{-2}=(\frac{4}{3})^2=\frac{16}{9}$

b)
$(-\frac{5}{4})^{-3}=(-\frac{4}{5})^3=-\frac{64}{125}$

c)
$10^{-3)=(\frac{1}{10})^3=\frac{1}{1000}=0,001$

d)
$2^{-1}=(\frac{1}{2})^1=\frac{1}{2}$

e)
$(-6)^{-2}=(-\frac{1}{6})^2=\frac{1}{36}$

f)
$(\frac{1}{9})^{-2}=9^2=81$