Question

(3⁶•3²) : 3⁴ é igual a:
a)0
b)1
c)3³
d)3⁸​

Answer 1

Resposta:

3) são diferentes

4) letra b

5) letra d

Explicação passo-a-passo:

3) As potências são diferentes, porque:

$(-2)^4=-2\;.\;-2\;.\;-2\;.\;-2=16\\\\-2^4=-(2^4)=-(2\;.\;2\;.\;2\;.\;2)=-16$

4)  

$(3^6\;.\;3^{-2})\;:\;3^4=3^{(6-2)}\;:\;3^4=3^4\;:\;3^4=1 \quad \rightarrow \quad \mathbf{letra\;b}$

5)

$\sqrt[4]{\dfrac{2^{65}+2^{67}}{10}}\\\\\sqrt[4]{\dfrac{2^{65}+2^{65}\;.\;2^2}{10}}\\\\\sqrt[4]{\dfrac{2^{65}+2^{65}\;.\;4}{10}}\\\\\sqrt[4]{\dfrac{2^{65}\;.\;(1+4)}{10}}\\\\\sqrt[4]{\dfrac{2^{65}\;.\;5}{10}}\\\\\sqrt[4]{\dfrac{2^{65}}{2}}\\\\\sqrt[4]{2^{64}}\\\\\sqrt[4]{2^{(16\;.\;4)}}\\\\\sqrt[4]{(2^{16})^4}}\\\\2^{16} \quad \rightarrow \quad \mathbf{letra\;d}$