Question

o quoficiente de 50⁵⁰ por 25²⁵ pode ser representado como 2 . 25²⁵

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left(\dfrac{50^{50}}{25^{25}}\right) = \left(\dfrac{(2.25)^{50}}{25^{25}}\right) }$

$\mathsf{\left(\dfrac{50^{50}}{25^{25}}\right) = \left(\dfrac{2^{50}.25^{50}}{25^{25}}\right) }$

$\mathsf{\left(\dfrac{50^{50}}{25^{25}}\right) = 2^{50}.25^{25} }$

$\mathsf{\left(\dfrac{50^{50}}{25^{25}}\right) = 2^{50}.(5^2)^{25} }$

$\mathsf{\left(\dfrac{50^{50}}{25^{25}}\right) = 2^{50}.5^{50} }$

$\boxed{\boxed{\mathsf{\left(\dfrac{50^{50}}{25^{25}}\right) = 10^{50}}}}$

Answer 2

Resposta:

50⁵⁰ / 25²⁵

=50⁵⁰ / (5²)²⁵

=50⁵⁰ / (5)⁵⁰

=(50/5)⁵⁰

=10⁵⁰

=(2*5)⁵⁰

=2⁵⁰ * 5⁵⁰