(4*10/5*8)^3*(15*8^2/2*10^2)^2= eching

$$( \frac { 4 * 10 } { 5 * 8 } ) ^ { 3 } * ( \frac { 15 * 8 ^ { 2 } } { 2 * 10 ^ { 2 } } ) ^ { 2 } =$$

Baholash

$$\frac{576}{25}=23,04$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2\times 4\times 5 ni qisqartiring.

$$1^{3}\times \left(\frac{15\times 8^{2}}{2\times 10^{2}}\right)^{2}$$

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

$$1\times \left(\frac{15\times 8^{2}}{2\times 10^{2}}\right)^{2}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$1\times \left(\frac{15\times 64}{2\times 10^{2}}\right)^{2}$$

960 hosil qilish uchun 15 va 64 ni ko'paytirish.

$$1\times \left(\frac{960}{2\times 10^{2}}\right)^{2}$$

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$1\times \left(\frac{960}{2\times 100}\right)^{2}$$

200 hosil qilish uchun 2 va 100 ni ko'paytirish.

$$1\times \left(\frac{960}{200}\right)^{2}$$

\frac{960}{200} ulushini 40 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1\times \left(\frac{24}{5}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{24}{5} ga hisoblang va \frac{576}{25} ni qiymatni oling.

$$1\times \frac{576}{25}$$

\frac{576}{25} hosil qilish uchun 1 va \frac{576}{25} ni ko'paytirish.

$$\frac{576}{25}$$

Omil

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{5 ^ {2}} = 23\frac{1}{25} = 23,04$$