(2/3)^-2/6^-1+7^0 eching

$$\frac { ( \frac { 2 } { 3 } ) ^ { - 2 } } { 6 ^ { - 1 } + 7 ^ { 0 } }$$

Baholash

$$\frac{27}{14}\approx 1,928571429$$

Yechim qadamlari

-2 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{\frac{9}{4}}{6^{-1}+7^{0}}$$

-1 daraja ko‘rsatkichini 6 ga hisoblang va \frac{1}{6} ni qiymatni oling.

$$\frac{\frac{9}{4}}{\frac{1}{6}+7^{0}}$$

0 daraja ko‘rsatkichini 7 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\frac{9}{4}}{\frac{1}{6}+1}$$

\frac{7}{6} olish uchun \frac{1}{6} va 1'ni qo'shing.

$$\frac{\frac{9}{4}}{\frac{7}{6}}$$

\frac{9}{4} ni \frac{7}{6} ga bo'lish \frac{9}{4} ga k'paytirish \frac{7}{6} ga qaytarish.

$$\frac{9}{4}\times \frac{6}{7}$$

\frac{27}{14} hosil qilish uchun \frac{9}{4} va \frac{6}{7} ni ko'paytirish.

$$\frac{27}{14}$$

Omil

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1,9285714285714286$$