(19/16)^frac{1{2}}+01^-2-(-314)^0-(-8/27)^-frac{1{3}} eching

$$( 1 \frac { 9 } { 16 } ) ^ { \frac { 1 } { 2 } } + 01 ^ { - 2 } - ( - 314 ) ^ { 0 } - ( - \frac { 8 } { 27 } ) ^ { - \frac { 1 } { 3 } }$$

Baholash

$$\frac{7}{4}=1,75$$

Yechim qadamlari

16 hosil qilish uchun 1 va 16 ni ko'paytirish.

$$\left(\frac{16+9}{16}\right)^{\frac{1}{2}}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

25 olish uchun 16 va 9'ni qo'shing.

$$\left(\frac{25}{16}\right)^{\frac{1}{2}}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

\frac{1}{2} daraja ko‘rsatkichini \frac{25}{16} ga hisoblang va \frac{5}{4} ni qiymatni oling.

$$\frac{5}{4}+0\times 1^{-2}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

-2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{5}{4}+0\times 1-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\frac{5}{4}+0-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

\frac{5}{4} olish uchun \frac{5}{4} va 0'ni qo'shing.

$$\frac{5}{4}-\left(-314\right)^{0}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

0 daraja ko‘rsatkichini -314 ga hisoblang va 1 ni qiymatni oling.

$$\frac{5}{4}-1-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

\frac{1}{4} olish uchun \frac{5}{4} dan 1 ni ayirish.

$$\frac{1}{4}-\left(-\frac{8}{27}\right)^{-\frac{1}{3}}$$

-\frac{1}{3} daraja ko‘rsatkichini -\frac{8}{27} ga hisoblang va -\frac{3}{2} ni qiymatni oling.

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

-\frac{3}{2} ning teskarisi \frac{3}{2} ga teng.

$$\frac{1}{4}+\frac{3}{2}$$

\frac{7}{4} olish uchun \frac{1}{4} va \frac{3}{2}'ni qo'shing.

$$\frac{7}{4}$$

Omil

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1,75$$