Q transpome cada expressab cem um produtou emam quocientele potêneias. a) (7 cdot 3)^2 [ d(3^4: 50^-3)^-2 ] b) (9: 5)^2 [ ( a) )(2^5 cdot 2^-2 cdot 31^-1)^-5 ] [ ( d) )(2^-3 cdot 5^-2)^2 ] [ ( d) )(7^-3: 50^2)^2 ]

Question

Pergunta

Q transpome cada expressab cem um produtou emam quocientele potêneias. a) (7 cdot 3)^2 [ d(3^4: 50^-3)^-2 ] b) (9: 5)^2 [ ( a) )(2^5 cdot 2^-2 cdot 31^-1)^-5 ] [ ( d) )(2^-3 cdot 5^-2)^2 ] [ ( d) )(7^-3: 50^2)^2 ]

Answer 1

Vamos corrigir e detalhar as respostas:

a)

$(7 \cdot 3)^{2}$

$(7 \cdot 3)^{2} = 21^{2} = 441$

b)

$(9: 5)^{2}$

$(9: 5)^{2} = \left(\frac{9}{5}\right)^{2} = \frac{81}{25}$

c)

$\left(3^{4}: 50^{-3}\right)^{-2}$
\[
\left(3^{4}: 50^{-3}\right)^{-2} = \left(3^{4} \cdot 50^{3}\right)^{-2} = \left(81 \cdot 125000\right)^{-2} = 10125000^{-2} = \frac{1}{101250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Pergunta

Q transpome cada expressab cem um produtou emam quocientele potêneias. a) (7 cdot 3)^2 [ d(3^4: 50^-3)^-2 ] b) (9: 5)^2 [ ( a) )(2^5 cdot 2^-2 cdot 31^-1)^-5 ] [ ( d) )(2^-3 cdot 5^-2)^2 ] [ ( d) )(7^-3: 50^2)^2 ]

Solução

Responder