Question

4 elevado 1/4 + 8 elevado 1/3 - 9 elevado 1/2

Answer 1

= (4)^1/4 +8^ 1/3 -9^1/2

= (2)^2.(1/4) +³√8- ²√9

=2^2/4+2 - 3

= 2^ (2÷2)/(4÷2) -1

= (2^ 1/2) -1

= -1 +√2

Answer 2

Resposta:

$4^{{1\over4}}+8^{{1\over3}}-{9^{{1\over2}}=$

$\sqrt[4]{4} +\sqrt[3]{8} -\sqrt{9} =\\ \\ \sqrt[4]{2^2} +\sqrt[3]{2^3} -\sqrt{3^2} =\\ \\ \sqrt[4:2]{2^{2:2}} +2-3=\\ \\ \sqrt{2} -1$

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pode assim também

$(2^2)^{1\over4}+(2^3)^{1\over3}-(3^2)^{1\over2}=\\ \\ cancelando~~os~~expoentes\\ \\ (2^{\not2}){1\over\not4_2}+(2^{\not3})^{1\over\not3}-(3^{\not2})^{1\over\not2}=\\ \\ 2^{1\over2}+2-3=\\ \\ \sqrt{2} -1$