Question

reduza a uma só potência.
a)(0,4)2×(0,4)4
b) (2/3)3÷(2/3)2
c) [(-2/3)2]3
d) (-1/5)2×(-1/5)3
e) (-1/2)-4×(-1/2)-2
f)[(2/5)2]5
URGENTE PFVR ​

Answer 1

Resposta:

Explicação passo a passo:

a)

(0,4)²×(0,4)⁴ = (0,4)⁽²⁺⁴⁾=(0,4)⁶

b)

(2/3)³÷(2/3)² = (2/3)⁽³⁻²⁾ = (2/3)¹ = (2/3)

c)

[(-2/3)²]³ = (-2/3)⁽²ˣ³⁾ = (-2/3)⁶

d)

(-1/5)²×(-1/5)³ = (-1/5)⁽²⁺³⁾ = (-1/5)⁵

e)

(-1/2)⁻⁴×(-1/2)⁻² = (-1/2)⁻⁴⁺⁽⁻²⁾ = (-1/2)⁽⁻⁴⁻²⁾ = (-1/2)⁻⁶

f)

[(2/5)²]⁵ = (2/5)⁽²ˣ⁵⁾ = (2/5)¹⁰

Propriedades:

$\displaystyle \\(a^{m})^{n}=a^{m.n}\\\\\sqrt[n]{x^m} =x^{\frac{m}{n} }\\\\a^{m}a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \\\\a^{0}=1\\\\a^{1}=a$