Question

Resultado da Expressão ?


{[ (1/2)^2 - (2/3)^-2] . ( 1 - 3/5)^4 - 1,92 }^5

Answer 1

{[(1/2)^2 - (2/3)^-2]*(1 - 3/5)^4 - 1,92 }^5
{[(1/4 - 9/4]*(16/625) - 1,92}^5
{[-8/4]*(16/625) - 1,92}^5
{-32/625 - 1,92}^5
{-0,0512 - 1,92}^5
{-1,9712}^5
-29,76140654

Answer 2

$\{[ ( \frac{1}{2})^2 - ( \frac{2}{3})^{-2}] * ( 1 - \frac{3}{5})^4 - 1,92 \}^5= \\ \\ \{[ \frac{1}{4} - ( \frac{3}{2})^{+2}] * ( \frac{5}{5} - \frac{3}{5})^4 - \frac{192}{100} \}^5= \\ \\ \{[ \frac{1}{4} - \frac{9}{4}] * ( \frac{5-3}{5})^4 - \frac{48}{25} \}^5= \\ \\ \{[ \frac{1-9}{4}] * ( \frac{5-3}{5})^4 - \frac{48}{25} \}^5= \\ \\ \{[ \frac{-8}{4}] * ( \frac{2}{5})^4 - \frac{48}{25} \}^5= \\ \\ \{[ -2* ( \frac{16}{625}) - \frac{48}{25} \}^5=$

$\{ -2* ( \frac{16}{625}) - \frac{48}{25} \}^5= \\ \\ \{ - \frac{32}{625} - \frac{48}{25} \}^5= \\ \\ \{ - \frac{32}{625} - \frac{1200}{625} \}^5= \{ - \frac{1232}{625} \}^5 =\{ -1,9712 \}^5=-29,76140654...$