Question

sendo k= 3 elevado a -3 e w=3 elevado a -1 / calcule o valor de
30.k.w/k+w
a-1
b-2
c-4
d-3

Answer 1

Resposta:

A

Explicação passo-a-passo:

30 ×3-³ × 3-¹/ 3-³ + 3-¹

30 × (1/3)³ × 1/3 / (1/3)³ + 1/3

30 × 1/27 × 1/3 / 1/27 + 1/3

30 × 1/81 / 1/27 + 9/27

30/81 / 10/27

(Simplificando)

10/27 × 27/10

(Simplificando cruzado)

1/1 = 1

Answer 2

Resposta:

Letra A).

Explicação passo-a-passo:

Substituindo de acordo

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ {3}^{ - 3} + {3}^{ - 1} }$

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ \frac{1}{ {3}^{3} } + \frac{1}{3} }$

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ \frac{1}{27} + \frac{1}{3} }$

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ \frac{1 \times 3 + 1 \times 27}{27 \times 3} }$

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ \frac{30}{81} }$

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ \frac{10}{27} }$

$30 \times {3}^{ - 3} \times {3}^{ - 1} \times \frac{27}{10}$

$3 \times {3}^{ - 3} \times {3}^{ - 1} \times 27$

$27 \times {3}^{ - 3}$

${3}^{3} \times {3}^{ - 3}$

$1$