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

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

Aromātai

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

Ngā Upane Otinga

Tātaihia te 6.25 mā te pū o \frac{1}{2}, kia riro ko \frac{5}{2}.

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

Tātaihia te 0.0144 mā te pū o \frac{1}{2}, kia riro ko \frac{3}{25}.

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

Whakareatia te \frac{5}{2} ki te \frac{3}{25}, ka \frac{3}{10}.

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

Tāpirihia te \frac{3}{10} ki te 1, ka \frac{13}{10}.

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

Tātaihia te 0.027 mā te pū o \frac{1}{3}, kia riro ko \frac{3}{10}.

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

Tātaihia te 81 mā te pū o \frac{1}{4}, kia riro ko 3.

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

Whakareatia te \frac{3}{10} ki te 3, ka \frac{9}{10}.

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

Whakawehe \frac{13}{10} ki te \frac{9}{10} mā te whakarea \frac{13}{10} ki te tau huripoki o \frac{9}{10}.

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

Whakareatia te \frac{13}{10} ki te \frac{10}{9}, ka \frac{13}{9}.

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

Tauwehe

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