Question

Quanto vale :
$\frac{60 {}^{40} }{30 {}^{20} }$

a) ${2}^{2}$
b) ${2}^{20}$

c) ${30}^{20}$

d) ${120}^{20}$

pfv me ajudemmm !!!​

Answer 1

Resposta:

2^20

Explicação passo-a-passo:

divide a fraçao e diminui os expoentes.

Answer 2

Explicação passo-a-passo:

$\dfrac{ {60}^{40} }{30 {}^{20} } = \\ \\ = \dfrac{ {2}^{40} \times {30}^{40} }{ {30}^{20} } \\ \\ = {2}^{40} \times {30}^{40 - 20} \\ \\ = {2}^{40} \times {30}^{20} \\ \\ = {2}^{40} \times {2}^{20} \times 15 {}^{20} \\ \\ = {2}^{60} \times {15}^{20} \\ \\ = {2}^{20} \times {2}^{20} \times {2}^{20} \times {3}^{20} \times {5}^{20} \\ \\ = ( 2 \times 2 \times 2 \times 3 \times 5)^{20} \\ \\ = (8 \times 15)^{20} \\ \\ = \blue{ ( 120)^{20} }$

Resposta:

Letre D)$\green{{120}^{20}}$

Bons Estudos!