Question

Simplifique a expressão no caderno...​

Answer 1

Explicação passo-a-passo:

$\sf E=[(3^4)^3\div3^9]^{-2}$

$\sf E=[3^{4\cdot3}\div3^9]^{-2}$

$\sf E=[3^{12}\div3^9]^{-2}$

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

$\sf E=[3^{3}]^{-2}$

$\sf E=3^{3\cdot(-2)}$

$\sf \red{E=3^{-6}}$

Answer 2

Oie, Td Bom?!

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

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

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

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

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

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

$= 3 {}^{ - 6}$

Att. Makaveli1996