Question

Calcule as potências:
a) -(7) ⁴
b) (-6) ⁻²
c) -(-5) ⁴
d) (-8)⁻¹
e) -(9)⁰
f) (-15)⁻²
g) - (-19)²
h) - (-11)⁻²
i) - (-3)⁵
j) - (-10)⁻³
l) ( -5÷8)⁻²
m) (-1)³
n) (6÷5)⁻³

Answer 1

Resposta:

a) = 28

b) 36

c) - 625

d) verdadeiro

e) = -1

f) = 225

g) = - 1,471x 10³

h) = - 22

i) = - 243

j) = - 13

l) = 64/25

m) =1

n) falso

Answer 2

Explicação passo-a-passo:

a) $-(7)^{4}=-(7.7.7.7)=-(2401)=-2401$

-----------------------------------------------------------------------------

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

-----------------------------------------------------------------------------

c) $-(-5)^{4}=-[(-5).(-5).(-5).(-5)]=-(625)=-625$

-----------------------------------------------------------------------------

d) $(-8)^{-1}=\frac{1}{(-8)^{1}}=\frac{1}{-8}=-\frac{1}{8}$

-----------------------------------------------------------------------------

e) $-(9)^{0}=-(1)=-1$

-----------------------------------------------------------------------------

f) $(-15)^{-2}=\frac{1}{(-15)^{2}}=\frac{1}{(-15).(-15)}=\frac{1}{225}$

----------------------------------------------------------------------------

g) $-(-19)^{2}=-[(-19).(-19)]=-(361)=-361$

----------------------------------------------------------------------------

h) $-(-11)^{-2}=-(\frac{1}{(-11)^{2}})=-(\frac{1}{(-11).(-11)})=-(\frac{1}{121})=-\frac{1}{121}$

----------------------------------------------------------------------------

i) $-(-3)^{5}=-[(-3).(-3).(-3).(-3).(-3)]=-(-243)=243$

----------------------------------------------------------------------------

j) $-(-10)^{-3}=-(\frac{1}{(-10)^{3}})=-(\frac{1}{(-10).(-10).(-10)})=-(\frac{1}{-1000})=\frac{1}{1000}$

---------------------------------------------------------------------------

l) $(-\frac{5}{8})^{-2}=\frac{1}{(-\frac{5}{8})^{2}}=\frac{1}{(-\frac{5}{8}).(-\frac{5}{8})}=\frac{1}{\frac{25}{64}}=1.\frac{64}{25}=\frac{64}{25}$

--------------------------------------------------------------------------

m) $(-1)^{3}=(-1).(-1).(-1)=-1$

--------------------------------------------------------------------------

n) $(\frac{6}{5})^{-3}=\frac{1}{(\frac{6}{5})^{3}}=\frac{1}{\frac{6}{5}.\frac{6}{5}.\frac{6}{5}}=\frac{1}{\frac{216}{125}}=1.\frac{125}{216}=\frac{125}{216}$