Question

$(\frac{2^2.3^3}{5^3} )^2$

Answer 1

Resposta:

Explicação passo-a-passo:

$\text{\huge Propriedades Utilizadas.}}\\(a^m)^n=a^{m\cdot n}\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}$

$\left(\dfrac{2^2.3^3}{5^3} \right)^2=\left(\dfrac{(2^2)^2\times (3^3)^2}{(5^3)^2} \right)=\dfrac{2^4\times 3^4}{5^6}=\dfrac{6^4}{5^6}=\dfrac{1296}{15625}\\\\\begin{center}\fbox{\rule{2ex}{2ex}\hspace{20ex}{ESPERO TER AJUDADO}\hspace{20ex}\rule{2ex}{2ex}}\end{center}$