Question

Resolva as potências:​
a) (-3)⁴

b) 5‐³

c) ½-⁵

d) -7²

e) (-0,4)³

f(-8/9)-²

g) (¼)-2

h) 9-²

i) (⅘)-³

j) 2-⁴

Answer 1

a) $(-3)^{4} = (-3) . (-3) . (-3) . (-3) = 81$

b) $5^{-3} = (\frac{1}{5})^{3} = \frac{1}{125}$

c) $(\frac{1}{2}) ^{-5} = (\frac{1}{\frac{1}{2}})^{5} = 2^{5} = 32$

d) $-7^{2} = -1 . 7 . 7 = -49$

e) $(-0,4)^{3} = (-\frac{4}{10})^{3} = -\frac{64}{1000} = -0,064$

f) $(-\frac{8}{9})^{-2} = (\frac{1}{-\frac{8}{9}})^{2} = (-\frac{9}{8})^{2} = \frac{81}{64}$

g) $(\frac{1}{4})^{-2} = (\frac{1}{\frac{1}{4}}) ^{2} = 4^{2} = 16$

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

i) $(\frac{4}{5})^{-3} = (\frac{1}{\frac{4}{5}})^{3} = (\frac{5}{4})^{3} = \frac{125}{64}$

j) $2^{-4} = (\frac{1}{2})^{4} = \frac{1}{16}$