Question

Simplifique cada expressão a seguir
$(\sqrt[3]{} \sqrt[6]{2^{9} } )^{4 } . (\sqrt[6]{} \sqrt[3]{2} ^{9} )^{4}$

Answer 1

Resposta:

Explicação passo-a-passo:

(∛⁶√2⁹)⁴ .(⁶√∛2⁹)⁴    veja as RAIZES

(³ˣ⁶√2⁹)⁴  . (⁶ˣ³√2⁹)⁴

(¹⁸√2⁹)⁴.  (¹⁸√2⁹)⁴   vejaaaaaa

¹⁸√2⁹ˣ⁴ .¹⁸√2⁹ˣ⁴

¹⁸√2³⁶   .¹⁸√2³⁶   mesmo que

2³⁶/₁₈  . 2³⁶/₁₈

2².2² =

4.4 = 16  ( resposta)  

Answer 2

$( \sqrt[3]{ \sqrt[6]{ {2}^{9} } }) ^{4} \times ( \sqrt[6]{ \sqrt[3]{ {2}^{9} } } ) ^{4} \\ ( \sqrt[18]{ {2}^{9} } ) ^{4} \times ( \sqrt[18]{ {2}^{9} } ) ^{4} \\ ( {2}^{ \frac{9}{18} } ) ^{4} \times ( {2}^{ \frac{9}{18} } ) ^{4} \\ ( {2}^{ \frac{1}{2} } ) ^{4} \times ( {2}^{ \frac{1}{2} } )^{4} \\ ( {2}^{ \frac{4}{2} } ) \times ( {2}^{ \frac{4}{2} } ) \\ {2}^{2} \times {2}^{2} = {2}^{2 + 2} = {2}^{4} = 16$