(-125)^frac{2{3}}*32^frac{2{5}}+[(-1)^frac{4{7}}]^frac{7{4}}= eching

$$( - 125 ) ^ { \frac { 2 } { 3 } } \times 32 ^ { \frac { 2 } { 5 } } + [ ( - 1 ) ^ { \frac { 4 } { 7 } } ] ^ { \frac { 7 } { 4 } } =$$

Baholash

$$101$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{4}{7} va \frac{7}{4} ni ko‘paytirib, 1 ni oling.

$$\left(-125\right)^{\frac{2}{3}}\times 32^{\frac{2}{5}}+\left(-1\right)^{1}$$

\frac{2}{3} daraja ko‘rsatkichini -125 ga hisoblang va 25 ni qiymatni oling.

$$25\times 32^{\frac{2}{5}}+\left(-1\right)^{1}$$

\frac{2}{5} daraja ko‘rsatkichini 32 ga hisoblang va 4 ni qiymatni oling.

$$25\times 4+\left(-1\right)^{1}$$

100 hosil qilish uchun 25 va 4 ni ko'paytirish.

$$100+\left(-1\right)^{1}$$

1 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$100-1$$

99 olish uchun 100 dan 1 ni ayirish.

$$99$$

Omil

$$101$$