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

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

Kontrolli

Lahenduse etapid

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 2 ja -3, et saada -6.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Lahutage \frac{1}{2} väärtusest 1, et leida \frac{1}{2}.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Korrutage 2 ja \frac{1}{2}, et leida 1.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Arvutage -6 aste 2 ja leidke \frac{1}{64}.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Liitke 1 ja \frac{1}{64}, et leida \frac{65}{64}.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Arvu -3 vastand on 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Liitke -\frac{3}{4} ja 3, et leida \frac{9}{4}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Korrutage \frac{2}{5} ja \frac{3}{8}, et leida \frac{3}{20}.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Liitke \frac{9}{4} ja \frac{3}{20}, et leida \frac{12}{5}.

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Jagage \frac{65}{64} väärtusega \frac{12}{5}, korrutades \frac{65}{64} väärtuse \frac{12}{5} pöördväärtusega.

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Korrutage \frac{65}{64} ja \frac{5}{12}, et leida \frac{325}{768}.

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

Võrrelge omavahel \frac{325}{768} ja \frac{325}{768}.

$$\text{true}\text{ and }\frac{325}{768}=0,4232$$

Teisendage kümnendarv 0,4232 murdarvuks \frac{4232}{10000}. Taandage murd \frac{4232}{10000} vähimale ühiskordsele, eraldades ja taandades arvu 8.

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

768 ja 1250 vähim ühiskordne on 480000. Teisendage \frac{325}{768} ja \frac{529}{1250} murdarvudeks, mille nimetaja on 480000.

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

Võrrelge omavahel \frac{203125}{480000} ja \frac{203136}{480000}.

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

\text{true} ja \text{false} konjunktsioon on \text{false}.

$$\text{false}$$