Question

calcule as potências a seguir
(1,8)²
(0,4)³
(⅔)³
(2,5)²
(½)⁴
​

Answer 1

Resposta:

a) $\boxed{\dfrac{81}{25}=3,24}$

b) $\boxed{\dfrac{8}{125}=0,064}$

c) $\boxed{\dfrac{8}{9}=0,88888888889}$

d) $\boxed{\dfrac{25}{4}=6,25}$

e) $\boxed{\dfrac{1}{16}=0,0625}$

Explicação passo-a-passo:

a)

$(1,8)^2=\left(\dfrac{18}{10}\right)^3=\left(\dfrac{2\times9}{10}\right)^2=\left(\dfrac{2\times3^2}{10}\right)^2=\dfrac{2^2\times3^4}{10^2}\\\\\\\dfrac{4\times81}{100}=\dfrac{324}{100}=\boxed{\dfrac{81}{25}=3,24}$

b)

$(0,4)^3=\left(\dfrac{4}{10}\right)^3=\dfrac{4^3}{10^3}=\dfrac{64}{1000}=\boxed{\dfrac{8}{125}=0,064}$

c)

$\left(\dfrac{2}{3}\right)^3=\dfrac{2^3}{3^3}=\boxed{\dfrac{8}{9}=0,88888888889}$

d)

$(2,5)^2=\left(\dfrac{5}{2}\right)^2=\dfrac{5^2}{2^2}=\boxed{\dfrac{25}{4}=6,25}$

e)

$\left(\dfrac{1}{2}\right)^4=\dfrac{1^4}{2^4}=\boxed{\dfrac{1}{16}=0,0625}$

Obs: Apresentamos as respostas tanto em fração quanto em decimais.

${\begin{center}\fbox{\rule{3ex}{2ex}\hspace{19.3ex}{#ESPERO TER AJUDADO !}\hspace{19.3ex}\rule{3ex}{2ex}}}{\end{center}}$

$\fbox{{\begin{minipage}[t]{0.89\textwidth{ }}\sc{Escolha\ a\ melhor\ resposta\ entre\ as\ obtidas\ e\ voc{\^{e}}\ receber{\'{a}}\ 25\%\ dos\ pontos\ que\ voc\^{e}\ gastou\ para\ a\ sua\ pergunta.}\end{minipage}{ }}}$