Question

calcule cada potência :

a)
${7}^{2}$
b)
${( - 3)}^{3}$
c)
${ - 1}^{0}$
d)
${5}^{1}$
e)
${2}^{ - 4}$
f)
$( \frac{8}{5} )^{ - 2}$
g)
${6}^{ - 2}$
h)
$( \frac{3}{4} )^{ - 3}$

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Answer 1

Resposta:

a - 49

b - -27

c - 1

d - 1

e -0.0625

f -

g -  0.027777777777777776

h -

Answer 2

Explicação passo-a-passo:

$a)~~7^2=7\times7=49\\ \\ b)~~(-3)^3=(-3)(-3)(-3)=-27\\ \\ c)~~-1^0=-1\\ \\ d)~~5^1=5\\ \\ e)~~2^{-4}={1\over2^4}=({1\over2})^4=({1\over2})({1\over2})({1\over2})({1\over2})={1\over16}\\ \\ f)~~({8\over5})^{-2}=({5\over8})^2=({5\over8})({5\over8})={25\over64}\\ \\ g)~~6^{-2}={1\over6^2}={1\over6\times6}={1\over36}\\ \\ h)~~({3\over4})^{-3}=({4\over3})^3=({4\over3})({4\over3})({4\over3})={64\over27}$

potência com expoente negativo: inverte sua base e o sinal do expoente passa ser positivo