5*(4^2-left(2^3right)^5/(2*{left(4^2right)^4} eching

$$5 \times \frac { ( { 4 }^{ 2 } - { \left( { 2 }^{ 3 } \right) }^{ 5 } } { (2 \times { \left( { 4 }^{ 2 } \right) }^{ 4 } }$$

Baholash

$$-\frac{10235}{8192}=-1,249389648$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 5 ni ko‘paytirib, 15 ni oling.

$$5\times \frac{4^{2}-2^{15}}{2\times \left(4^{2}\right)^{4}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$5\times \frac{4^{2}-2^{15}}{2\times 4^{8}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$5\times \frac{16-2^{15}}{2\times 4^{8}}$$

15 daraja ko‘rsatkichini 2 ga hisoblang va 32768 ni qiymatni oling.

$$5\times \frac{16-32768}{2\times 4^{8}}$$

-32752 olish uchun 16 dan 32768 ni ayirish.

$$5\times \frac{-32752}{2\times 4^{8}}$$

8 daraja ko‘rsatkichini 4 ga hisoblang va 65536 ni qiymatni oling.

$$5\times \frac{-32752}{2\times 65536}$$

131072 hosil qilish uchun 2 va 65536 ni ko'paytirish.

$$5\times \frac{-32752}{131072}$$

\frac{-32752}{131072} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$5\left(-\frac{2047}{8192}\right)$$

-\frac{10235}{8192} hosil qilish uchun 5 va -\frac{2047}{8192} ni ko'paytirish.

$$-\frac{10235}{8192}$$

Omil

$$-\frac{10235}{8192} = -1\frac{2043}{8192} = -1,2493896484375$$