Resolver (4/9)^-frac{1{2}}+(1/16)^frac{3{4}}

$$( \frac { 4 } { 9 } ) ^ { - \frac { 1 } { 2 } } + ( \frac { 1 } { 16 } ) ^ { \frac { 3 } { 4 } }$$

Calcular

$$\frac{13}{8}=1.625$$

Pasos da solución

Calcula \frac{4}{9} á potencia de -\frac{1}{2} e obtén \frac{3}{2}.

$$\frac{3}{2}+\left(\frac{1}{16}\right)^{\frac{3}{4}}$$

Calcula \frac{1}{16} á potencia de \frac{3}{4} e obtén \frac{1}{8}.

$$\frac{3}{2}+\frac{1}{8}$$

Suma \frac{3}{2} e \frac{1}{8} para obter \frac{13}{8}.

$$\frac{13}{8}$$

Factorizar

$$\frac{13}{2 ^ {3}} = 1\frac{5}{8} = 1.625$$