Question

De forma geral as raízes e os expoentes de alguns números não são facilmente calculáveis, porém utilizando as propriedades dessas operações podemos calcular expressões complexas envolvendo raízes e potências.

A expressão MathML (base64):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 é equivalente a

(A)

2.
(B)

3.
(C)

5.
(D)

6.

Answer 1

Resposta:

D) 6

Explicação passo-a-passo:

Answer 2

Resposta:

6

Explicação passo-a-passo:

( 2 * 3^{5} * (2² + 3² )^{0} * \sqrt[3]{25^{2} } ) / ((1/5)^{-1/3} * 30 * 2^{-1} * \sqrt{9^{3} })

( 2 * 243 * 1 * \sqrt[3]{5^{4} } ) / (\sqrt[3]{5} * 30 * 1/2 * \sqrt{ 729} )

( 486 * 5\sqrt[3]{5} ) / ( (\sqrt[3]{5} * 15 * 27)

(486 * 5) / (15 * 27)

2430 / 405

= 6