Question

aplicando as propriedades das potências encontre os resultados para as expressões a seguir:
a)3⁵.3-².3¹=
b)2-⁷.2⁹.2¹.2⁴=
c)(3²)³=
d)5⁸:5⁵=
e)3⁸/3⁴=
f)(3²)²+3²=​

Answer 1

Resposta:

a)

$3 {}^{5} \times 3 {}^{ - 2} \times 3 {}^{1} = 3 {}^{5 - 2 + 1} = 3 {}^{4}$

B)

$2 {}^{ - 7} \times 2 {}^{9} \times 2 {}^{1} \times 2 {}^{4} = 2 {}^{ - 7 + 9 + 1 + 4} \\ 2 {}^{7}$

c)

$(3 {}^{2} ) {}^{3} = 3 {}^{2 \times 3} = 3 {}^{6}$

d)

$5 {}^{8} \div 5 {}^{5} = 5 {}^{8 - 5} = 5 {}^{3}$

e)

$\\ \frac{3 {}^{8} }{3 {}^{4} } = 3 {}^{8 - 4} = 3 {}^{4}$

F)

$(3 {}^{2}) {}^{2} + 3 {}^{2} = 3 {}^{2 \times 2} + 3 {}^{2} \\ 3 {}^{4} + 3 {}^{2} = (3 \times 3 \times 3 \times 3) + (3 \times 3) \\ 81 + 9 \\ 90$