56/5+left(3^2right)^6+41/12^323+4sqrt{25}= eching

$$\frac{ 56 }{ 5+ { \left( { 3 }^{ 2 } \right) }^{ 6 } } + \frac{ 41 }{ { 12 }^{ 3 } } 23+4 \sqrt{ 25 } =$$

Baholash

$$\frac{9434012053}{459169344}\approx 20,545822965$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 6 ni ko‘paytirib, 12 ni oling.

$$\frac{56}{5+3^{12}}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

12 daraja ko‘rsatkichini 3 ga hisoblang va 531441 ni qiymatni oling.

$$\frac{56}{5+531441}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

531446 olish uchun 5 va 531441'ni qo'shing.

$$\frac{56}{531446}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

\frac{56}{531446} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{28}{265723}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

3 daraja ko‘rsatkichini 12 ga hisoblang va 1728 ni qiymatni oling.

$$\frac{28}{265723}+\frac{41}{1728}\times 23+4\sqrt{25}$$

\frac{943}{1728} hosil qilish uchun \frac{41}{1728} va 23 ni ko'paytirish.

$$\frac{28}{265723}+\frac{943}{1728}+4\sqrt{25}$$

\frac{250625173}{459169344} olish uchun \frac{28}{265723} va \frac{943}{1728}'ni qo'shing.

$$\frac{250625173}{459169344}+4\sqrt{25}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$\frac{250625173}{459169344}+4\times 5$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$\frac{250625173}{459169344}+20$$

\frac{9434012053}{459169344} olish uchun \frac{250625173}{459169344} va 20'ni qo'shing.

$$\frac{9434012053}{459169344}$$

Omil

$$\frac{29033 \cdot 324941}{2 ^ {6} \cdot 3 ^ {3} \cdot 467 \cdot 569} = 20\frac{250625173}{459169344} = 20,5458229654809$$