(12-4/5)^-2+sqrt{25/16}-2^-1= eching

$$( 12 - \frac { 4 } { 5 } ) ^ { - 2 } + \sqrt { \frac { 25 } { 16 } } - 2 ^ { - 1 } =$$

Baholash

$$\frac{2377}{3136}\approx 0,757971939$$

Yechim qadamlari

\frac{56}{5} olish uchun 12 dan \frac{4}{5} ni ayirish.

$$\left(\frac{56}{5}\right)^{-2}+\sqrt{\frac{25}{16}}-2^{-1}$$

-2 daraja ko‘rsatkichini \frac{56}{5} ga hisoblang va \frac{25}{3136} ni qiymatni oling.

$$\frac{25}{3136}+\sqrt{\frac{25}{16}}-2^{-1}$$

\frac{25}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{25}{3136}+\frac{5}{4}-2^{-1}$$

\frac{3945}{3136} olish uchun \frac{25}{3136} va \frac{5}{4}'ni qo'shing.

$$\frac{3945}{3136}-2^{-1}$$

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

$$\frac{3945}{3136}-\frac{1}{2}$$

\frac{2377}{3136} olish uchun \frac{3945}{3136} dan \frac{1}{2} ni ayirish.

$$\frac{2377}{3136}$$

Omil

$$\frac{2377}{2 ^ {6} \cdot 7 ^ {2}} = 0,7579719387755102$$