Question

expoentes racional ex) 6^3/2 = v6^3 a) 2^5/4= b) 7^1/2= c) 9^11/15= d) 11^3/4= e) 18^2/3=​

Answer 1

a)

${2}^{ \frac{5}{4} } = \sqrt[4]{ {2}^{5} } = \sqrt[4]{ {2}^{4} \times 2} = {2}^{ \frac{4}{4} } \sqrt[4]{2} = 2 \sqrt[4]{2}$

b)

${7}^{ \frac{1}{2} } = \sqrt[2]{ {7}^{1} } = \sqrt{7}$

c)

${9}^{ \frac{11}{15} } = \sqrt[15]{ {9}^{11} } = \sqrt[15]{ {3}^{ {2}^{11} } } = \sqrt[15]{ {3}^{22} } = \sqrt[15]{ {3}^{15} \times {3}^{7} } = 3 \sqrt[15]{ {3}^{7} }$

d)

${18}^{ \frac{2}{3} } = \sqrt[3]{18 {}^{2} } = \sqrt[3]{ {3}^{3} \times 2 {}^{2} } = 3 \sqrt[3]{4}$

Answer 2

Resposta:

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Explicação passo-a-passo:

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