2^{-4}*3^4*4^-3*5^3*3^5= eching

$$2 ^ { - 4 } \cdot 3 ^ { 4 } \cdot 4 ^ { - 3 } \cdot 5 ^ { 3 } \cdot 3 ^ { 5 } =$$

Baholash

$$\frac{2460375}{1024}\approx 2402,709960938$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$2^{-4}\times 3^{9}\times 4^{-3}\times 5^{3}$$

-4 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{1}{16}\times 3^{9}\times 4^{-3}\times 5^{3}$$

9 daraja ko‘rsatkichini 3 ga hisoblang va 19683 ni qiymatni oling.

$$\frac{1}{16}\times 19683\times 4^{-3}\times 5^{3}$$

\frac{19683}{16} hosil qilish uchun \frac{1}{16} va 19683 ni ko'paytirish.

$$\frac{19683}{16}\times 4^{-3}\times 5^{3}$$

-3 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{19683}{16}\times \frac{1}{64}\times 5^{3}$$

\frac{19683}{1024} hosil qilish uchun \frac{19683}{16} va \frac{1}{64} ni ko'paytirish.

$$\frac{19683}{1024}\times 5^{3}$$

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$\frac{19683}{1024}\times 125$$

\frac{2460375}{1024} hosil qilish uchun \frac{19683}{1024} va 125 ni ko'paytirish.

$$\frac{2460375}{1024}$$

Omil

$$\frac{3 ^ {9} \cdot 5 ^ {3}}{2 ^ {10}} = 2402\frac{727}{1024} = 2402,7099609375$$