frac{4^{0}+2^-1}{(-3)^2+5^-3-(-2)^3} eching

$$\frac { 4 ^ { 0 } + 2 ^ { - 1 } } { ( - 3 ) ^ { 2 } + 5 ^ { - 3 } - ( - 2 ) ^ { 3 } }$$

Baholash

$$\frac{375}{4252}\approx 0,088193791$$

Yechim qadamlari

0 daraja ko‘rsatkichini 4 ga hisoblang va 1 ni qiymatni oling.

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

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

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

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

$$\frac{\frac{3}{2}}{\left(-3\right)^{2}+5^{-3}-\left(-2\right)^{3}}$$

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\frac{3}{2}}{9+5^{-3}-\left(-2\right)^{3}}$$

-3 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{125} ni qiymatni oling.

$$\frac{\frac{3}{2}}{9+\frac{1}{125}-\left(-2\right)^{3}}$$

\frac{1126}{125} olish uchun 9 va \frac{1}{125}'ni qo'shing.

$$\frac{\frac{3}{2}}{\frac{1126}{125}-\left(-2\right)^{3}}$$

3 daraja ko‘rsatkichini -2 ga hisoblang va -8 ni qiymatni oling.

$$\frac{\frac{3}{2}}{\frac{1126}{125}-\left(-8\right)}$$

-8 ning teskarisi 8 ga teng.

$$\frac{\frac{3}{2}}{\frac{1126}{125}+8}$$

\frac{2126}{125} olish uchun \frac{1126}{125} va 8'ni qo'shing.

$$\frac{\frac{3}{2}}{\frac{2126}{125}}$$

\frac{3}{2} ni \frac{2126}{125} ga bo'lish \frac{3}{2} ga k'paytirish \frac{2126}{125} ga qaytarish.

$$\frac{3}{2}\times \frac{125}{2126}$$

\frac{375}{4252} hosil qilish uchun \frac{3}{2} va \frac{125}{2126} ni ko'paytirish.

$$\frac{375}{4252}$$

Omil

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {2} \cdot 1063} = 0,08819379115710255$$