Réitigh (2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=0.4232

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 0.4232$$

Fíoraigh

Céimeanna Réitigh

Chun cumhacht a ardú go cumhacht eile, méadaigh na heaspónaint. Iolraigh 2 agus -3 chun -6 a bhaint amach.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Dealaigh \frac{1}{2} ó 1 chun \frac{1}{2} a fháil.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Méadaigh 2 agus \frac{1}{2} chun 1 a fháil.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Ríomh cumhacht 2 de -6 agus faigh \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Suimigh 1 agus \frac{1}{64} chun \frac{65}{64} a fháil.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Tá 3 urchomhairleach le -3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Suimigh -\frac{3}{4} agus 3 chun \frac{9}{4} a fháil.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Méadaigh \frac{2}{5} agus \frac{3}{8} chun \frac{3}{20} a fháil.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Suimigh \frac{9}{4} agus \frac{3}{20} chun \frac{12}{5} a fháil.

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Roinn \frac{65}{64} faoi \frac{12}{5} trí \frac{65}{64} a mhéadú faoi dheilín \frac{12}{5}.

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Méadaigh \frac{65}{64} agus \frac{5}{12} chun \frac{325}{768} a fháil.

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0.4232$$

Cuir \frac{325}{768} agus \frac{325}{768} i gcomparáid lena chéile.

$$\text{true}\text{ and }\frac{325}{768}=0.4232$$

Coinbhéartaigh an uimhir dheachúil 0.4232 i gcodán \frac{4232}{10000}. Laghdaigh an codán \frac{4232}{10000} chuig na téarmaí is ísle trí 8 a bhaint agus a chealú.

$$\text{true}\text{ and }\frac{325}{768}=\frac{529}{1250}$$

Is é an t-iolrach is lú coitianta de 768 agus 1250 ná 480000. Coinbhéartaigh \frac{325}{768} agus \frac{529}{1250} chuig codáin a bhfuil an t-ainmneoir 480000 acu.

$$\text{true}\text{ and }\frac{203125}{480000}=\frac{203136}{480000}$$

Cuir \frac{203125}{480000} agus \frac{203136}{480000} i gcomparáid lena chéile.

$$\text{true}\text{ and }\text{false}$$

Is é cónasc \text{true} agus \text{false} ná \text{false}.

$$\text{false}$$