Question

19) Simplifique a expressão [(3⁴)3:3⁹]-²
1/3
b) 1/27
c) 1/729
d) 1/759​

Answer 1

Oie, Td Bom?!

■ Resposta: Opção C.

$= [(3 {}^{4} ) {}^{3} \div 3 {}^{9} ] {}^{ - 2}$

$= [3 {}^{4 \: . \: 3} \div 3 {}^{9} ] {}^{ - 2}$

$= [3 {}^{12} \div 3 {}^{9} ] {}^{ - 2}$

$= [3 {}^{12 - 9} ] {}^{ - 2}$

$= [3 {}^{3} ] {}^{ - 2}$

$= 3 {}^{3 \: . \: ( - 2)}$

$= 3 {}^{ - 6}$

$= \frac{1}{3 {}^{6} }$

$= \frac{1}{729}$

Att. Makaveli1996