Resolver (19/16)^frac{1{2}}+01^-2-(-314)^0-(-8/27)^-frac{1{3}}

$$( 1 \frac { 9 } { 16 } ) ^ { \frac { 1 } { 2 } } + 01 ^ { - 2 } - ( - 314 ) ^ { 0 } - ( - \frac { 8 } { 27 } ) ^ { - \frac { 1 } { 3 } }$$

Avaliar

$$\frac{7}{4}=1,75$$

Passos Para a Resolução

Multiplique 1 e 16 para obter 16.

$$\left(\frac{16+9}{16}\right)^{\frac{1}{2}}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Some 16 e 9 para obter 25.

$$\left(\frac{25}{16}\right)^{\frac{1}{2}}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Calcule \frac{25}{16} elevado a \frac{1}{2} e obtenha \frac{5}{4}.

$$\frac{5}{4}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Calcule 1 elevado a -2 e obtenha 1.

$$\frac{5}{4}+0\times 1-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Multiplique 0 e 1 para obter 0.

$$\frac{5}{4}+0-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Some \frac{5}{4} e 0 para obter \frac{5}{4}.

$$\frac{5}{4}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Calcule -314 elevado a 0 e obtenha 1.

$$\frac{5}{4}-1-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Subtraia 1 de \frac{5}{4} para obter \frac{1}{4}.

$$\frac{1}{4}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

Calcule -\frac{8}{27} elevado a -\frac{1}{3} e obtenha -\frac{3}{2}.

$$\frac{1}{4}-\left(-\frac{3}{2}\right)$$

O oposto de -\frac{3}{2} é \frac{3}{2}.

$$\frac{1}{4}+\frac{3}{2}$$

Some \frac{1}{4} e \frac{3}{2} para obter \frac{7}{4}.

$$\frac{7}{4}$$

Fatorizar

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1,75$$