(2^-7*5^5)^2=? eching

$$( 2 ^ { - 7 } \cdot 5 ^ { 5 } ) ^ { 2 } = ?$$

Baholash

$$\frac{9765625}{16384}=596,046447754$$

Yechim qadamlari

-7 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{128} ni qiymatni oling.

$$\left(\frac{1}{128}\times 5^{5}\right)^{2}$$

5 daraja ko‘rsatkichini 5 ga hisoblang va 3125 ni qiymatni oling.

$$\left(\frac{1}{128}\times 3125\right)^{2}$$

\frac{3125}{128} hosil qilish uchun \frac{1}{128} va 3125 ni ko'paytirish.

$$\left(\frac{3125}{128}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{3125}{128} ga hisoblang va \frac{9765625}{16384} ni qiymatni oling.

$$\frac{9765625}{16384}$$

Omil

$$\frac{5 ^ {10}}{2 ^ {14}} = 596\frac{761}{16384} = 596,0464477539062$$