Question

Calcule o valor da expressão 3^2 . (1/3)^3 +1/3^-1 +2^-2

^ = elevado á

Answer 1

Resposta:

$3^2.({1\over3})^3+{1\over{3^{-1}+2^{-2}}}=\\ \\ \not9.({1\over\not27_3})+1\div({1\over3}+{1\over4})=\\ \\ {1\over3}+1\div({4+3\over12})=\\ \\ {1\over3}+1\div({7\over12})=\\ \\ {1\over3}+1\times{12\over7}=\\ \\ {1\over3}+{12\over7}=\\ \\ mmc=21\\ \\ {7+36\over21}={43\over21}$

Answer 2

${3}^{2}.{(\frac{1}{3})}^{3}+\frac{1}{{3}^{-1}+{2}^{-2}}$

$\not9.\frac{1}{\not27_3}+\frac{1}{\frac{1}{3}+{(\frac{1}{2})}^{2}}$

$\frac{1}{3}+\frac{1}{\frac{1}{3}+\frac{1}{4}}$

$\frac{1}{3}+\frac{1}{\frac{4+3}{12}}$

$\frac{1}{3}+\frac{1}{\frac{7}{12}}$

$\frac{1}{3}+\frac{12}{7}$

$\frac{7+36}{21}$

$\frac{43}{21}$

$\boxed{\boxed{{3}^{2}.{(\frac{1}{3})}^{3}+\frac{1}{{3}^{-1}+{2}^{-2}}=\frac{43}{21}}}$