Lahenda 2left(1-1/2right)+left(2^2right)^-3/-frac{3{4}--3+2/53/8}=frac{325}{768}=423*2

$$\frac{ 2 \left( 1- \frac{ 1 }{ 2 } \right) + { \left( { 2 }^{ 2 } \right) }^{ -3 } }{ - \frac{ 3 }{ 4 } --3+ \frac{ 2 }{ 5 } \frac{ 3 }{ 8 } } = \frac{ 325 }{ 768 } = 423 \cdot 2$$

Kontrolli

Lahenduse etapid

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

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

Arvu -3 vastand on 3.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=423\times 2$$

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

$$\text{true}\text{ and }\frac{325}{768}=423\times 2$$

Korrutage 423 ja 2, et leida 846.

$$\text{true}\text{ and }\frac{325}{768}=846$$

Teisendage 846 murdarvuks \frac{649728}{768}.

$$\text{true}\text{ and }\frac{325}{768}=\frac{649728}{768}$$

Võrrelge omavahel \frac{325}{768} ja \frac{649728}{768}.

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

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

$$\text{false}$$