Resolver frac{(6.25)^frac{1{2}}*(0.0144)^frac{1{2}}+1}{(0.027)^frac{1{3}}*(81)^frac{1{4}}}

$$\frac { ( 6.25 ) ^ { \frac { 1 } { 2 } } \times ( 0.0144 ) ^ { \frac { 1 } { 2 } } + 1 } { ( 0.027 ) ^ { \frac { 1 } { 3 } } \times ( 81 ) ^ { \frac { 1 } { 4 } } }$$

Calcular

$$\frac{13}{9}\approx 1.444444444$$

Pasos da solución

Calcula 6.25 á potencia de \frac{1}{2} e obtén \frac{5}{2}.

$$\frac{\frac{5}{2}\times 0.0144^{\frac{1}{2}}+1}{0.027^{\frac{1}{3}}\times 81^{\frac{1}{4}}}$$

Calcula 0.0144 á potencia de \frac{1}{2} e obtén \frac{3}{25}.

$$\frac{\frac{5}{2}\times \frac{3}{25}+1}{0.027^{\frac{1}{3}}\times 81^{\frac{1}{4}}}$$

Multiplica \frac{5}{2} e \frac{3}{25} para obter \frac{3}{10}.

$$\frac{\frac{3}{10}+1}{0.027^{\frac{1}{3}}\times 81^{\frac{1}{4}}}$$

Suma \frac{3}{10} e 1 para obter \frac{13}{10}.

$$\frac{\frac{13}{10}}{0.027^{\frac{1}{3}}\times 81^{\frac{1}{4}}}$$

Calcula 0.027 á potencia de \frac{1}{3} e obtén \frac{3}{10}.

$$\frac{\frac{13}{10}}{\frac{3}{10}\times 81^{\frac{1}{4}}}$$

Calcula 81 á potencia de \frac{1}{4} e obtén 3.

$$\frac{\frac{13}{10}}{\frac{3}{10}\times 3}$$

Multiplica \frac{3}{10} e 3 para obter \frac{9}{10}.

$$\frac{\frac{13}{10}}{\frac{9}{10}}$$

Divide \frac{13}{10} entre \frac{9}{10} mediante a multiplicación de \frac{13}{10} polo recíproco de \frac{9}{10}.

$$\frac{13}{10}\times \frac{10}{9}$$

Multiplica \frac{13}{10} e \frac{10}{9} para obter \frac{13}{9}.

$$\frac{13}{9}$$

Factorizar

$$\frac{13}{3 ^ {2}} = 1\frac{4}{9} = 1.4444444444444444$$