frac{15^{4}*18^3}{3^3*5^2*12^2} eching

$$\frac { 15 ^ { 4 } \times 18 ^ { 3 } } { 3 ^ { 3 } \times 5 ^ { 2 } \times 12 ^ { 2 } }$$

Baholash

$$\frac{6075}{2}=3037,5$$

Yechim qadamlari

4 daraja ko‘rsatkichini 15 ga hisoblang va 50625 ni qiymatni oling.

$$\frac{50625\times 18^{3}}{3^{3}\times 5^{2}\times 12^{2}}$$

3 daraja ko‘rsatkichini 18 ga hisoblang va 5832 ni qiymatni oling.

$$\frac{50625\times 5832}{3^{3}\times 5^{2}\times 12^{2}}$$

295245000 hosil qilish uchun 50625 va 5832 ni ko'paytirish.

$$\frac{295245000}{3^{3}\times 5^{2}\times 12^{2}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{295245000}{27\times 5^{2}\times 12^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{295245000}{27\times 25\times 12^{2}}$$

675 hosil qilish uchun 27 va 25 ni ko'paytirish.

$$\frac{295245000}{675\times 12^{2}}$$

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\frac{295245000}{675\times 144}$$

97200 hosil qilish uchun 675 va 144 ni ko'paytirish.

$$\frac{295245000}{97200}$$

\frac{295245000}{97200} ulushini 48600 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6075}{2}$$

Omil

$$\frac{3 ^ {5} \cdot 5 ^ {2}}{2} = 3037\frac{1}{2} = 3037,5$$