2^4x-9-4x+4*3^2-2x+x-9+x eching

$$2 ^ { 4 x - 9 - 4 x + 4 } \cdot 3 ^ { 2 - 2 x + x - 9 + x }$$

Baholash

$$\frac{1}{69984}\approx 0,000014289$$

Yechim qadamlari

0 ni olish uchun 4x va -4x ni birlashtirish.

$$2^{-9+4}\times 3^{2-2x+x-9+x}$$

-5 olish uchun -9 va 4'ni qo'shing.

$$2^{-5}\times 3^{2-2x+x-9+x}$$

-5 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{32} ni qiymatni oling.

$$\frac{1}{32}\times 3^{2-2x+x-9+x}$$

-x ni olish uchun -2x va x ni birlashtirish.

$$\frac{1}{32}\times 3^{2-x-9+x}$$

-7 olish uchun 2 dan 9 ni ayirish.

$$\frac{1}{32}\times 3^{-7-x+x}$$

0 ni olish uchun -x va x ni birlashtirish.

$$\frac{1}{32}\times 3^{-7}$$

-7 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{2187} ni qiymatni oling.

$$\frac{1}{32}\times \frac{1}{2187}$$

\frac{1}{69984} hosil qilish uchun \frac{1}{32} va \frac{1}{2187} ni ko'paytirish.

$$\frac{1}{69984}$$

Omil

$$\frac{1}{2 ^ {5} \cdot 3 ^ {7}} = 1,4288980338363053 \times 10^{-5}$$