(-1/2)^-2+(1/3)^-3+(1/4)^-4 eching

$$( \frac { - 1 } { 2 } ) ^ { - 2 } + ( \frac { 1 } { 3 } ) ^ { - 3 } + ( \frac { 1 } { 4 } ) ^ { - 4 }$$

Baholash

$$287$$

Yechim qadamlari

\frac{-1}{2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

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

-2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va 4 ni qiymatni oling.

$$4+\left(\frac{1}{3}\right)^{-3}+\left(\frac{1}{4}\right)^{-4}$$

-3 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va 27 ni qiymatni oling.

$$4+27+\left(\frac{1}{4}\right)^{-4}$$

31 olish uchun 4 va 27'ni qo'shing.

$$31+\left(\frac{1}{4}\right)^{-4}$$

-4 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va 256 ni qiymatni oling.

$$31+256$$

287 olish uchun 31 va 256'ni qo'shing.

$$287$$

Omil

$$7\times 41$$