0.001^{-1/3}-(-2)^{-2}64^frac{2{3}}-8^-1frac{1{3}}+(9^0)^2 eching

$$0.001 ^ { - \frac { 1 } { 3 } } - ( - 2 ) ^ { - 2 } 64 ^ { \frac { 2 } { 3 } } - 8 ^ { - 1 \frac { 1 } { 3 } } + ( 9 ^ { 0 } ) ^ { 2 }$$

Baholash

$$6,9375$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 0 va 2 ni ko‘paytirib, 0 ni oling.

$$0,001^{-\frac{1}{3}}-\left(-2\right)^{-2}\times 64^{\frac{2}{3}}-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

-\frac{1}{3} daraja ko‘rsatkichini 0,001 ga hisoblang va 10 ni qiymatni oling.

$$10-\left(-2\right)^{-2}\times 64^{\frac{2}{3}}-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

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

$$10-\frac{1}{4}\times 64^{\frac{2}{3}}-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

\frac{2}{3} daraja ko‘rsatkichini 64 ga hisoblang va 16 ni qiymatni oling.

$$10-\frac{1}{4}\times 16-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

4 hosil qilish uchun \frac{1}{4} va 16 ni ko'paytirish.

$$10-4-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

6 olish uchun 10 dan 4 ni ayirish.

$$6-8^{-\frac{1\times 3+1}{3}}+9^{0}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$6-8^{-\frac{3+1}{3}}+9^{0}$$

4 olish uchun 3 va 1'ni qo'shing.

$$6-8^{-\frac{4}{3}}+9^{0}$$

-\frac{4}{3} daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$6-\frac{1}{16}+9^{0}$$

\frac{95}{16} olish uchun 6 dan \frac{1}{16} ni ayirish.

$$\frac{95}{16}+9^{0}$$

0 daraja ko‘rsatkichini 9 ga hisoblang va 1 ni qiymatni oling.

$$\frac{95}{16}+1$$

\frac{111}{16} olish uchun \frac{95}{16} va 1'ni qo'shing.

$$\frac{111}{16}$$

Omil

$$\frac{3 \cdot 37}{2 ^ {4}} = 6\frac{15}{16} = 6,9375$$