Whakaoti i te {left(1/4right)}^24/5+2/5div{left(2/3right)}^3

$${ \left( \frac{ 1 }{ 4 } \right) }^{ 2 } \frac{ 4 }{ 5 } + \frac{ 2 }{ 5 } \div { \left( \frac{ 2 }{ 3 } \right) }^{ 3 }$$

Aromātai

$$\frac{7}{5}=1.4$$

Ngā Upane Otinga

Tātaihia te \frac{1}{4} mā te pū o 2, kia riro ko \frac{1}{16}.

$$\frac{1}{16}\times \frac{4}{5}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Me whakarea te \frac{1}{16} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 4}{16\times 5}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 4}{16\times 5}.

$$\frac{4}{80}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Whakahekea te hautanga \frac{4}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Tātaihia te \frac{2}{3} mā te pū o 3, kia riro ko \frac{8}{27}.

$$\frac{1}{20}+\frac{\frac{2}{5}}{\frac{8}{27}}$$

Whakawehe \frac{2}{5} ki te \frac{8}{27} mā te whakarea \frac{2}{5} ki te tau huripoki o \frac{8}{27}.

$$\frac{1}{20}+\frac{2}{5}\times \frac{27}{8}$$

Me whakarea te \frac{2}{5} ki te \frac{27}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{20}+\frac{2\times 27}{5\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 27}{5\times 8}.

$$\frac{1}{20}+\frac{54}{40}$$

Whakahekea te hautanga \frac{54}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{20}+\frac{27}{20}$$

Tā te mea he rite te tauraro o \frac{1}{20} me \frac{27}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+27}{20}$$

Tāpirihia te 1 ki te 27, ka 28.

$$\frac{28}{20}$$

Whakahekea te hautanga \frac{28}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{7}{5}$$

Tauwehe

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$