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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Ikkalkula 6.25 bil-power ta' \frac{1}{2} u tikseb \frac{5}{2}.

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

Ikkalkula 0.0144 bil-power ta' \frac{1}{2} u tikseb \frac{3}{25}.

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

Immultiplika \frac{5}{2} u \frac{3}{25} biex tikseb \frac{3}{10}.

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

Żid \frac{3}{10} u 1 biex tikseb \frac{13}{10}.

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

Ikkalkula 0.027 bil-power ta' \frac{1}{3} u tikseb \frac{3}{10}.

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

Ikkalkula 81 bil-power ta' \frac{1}{4} u tikseb 3.

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

Immultiplika \frac{3}{10} u 3 biex tikseb \frac{9}{10}.

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

Iddividi \frac{13}{10} b'\frac{9}{10} billi timmultiplika \frac{13}{10} bir-reċiproku ta' \frac{9}{10}.

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

Immultiplika \frac{13}{10} u \frac{10}{9} biex tikseb \frac{13}{9}.

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

Fattur

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