4^2*4^9*4^-12=4^2+9-12={4}^-1 eching

$${ 4 }^{ 2 } \times { 4 }^{ 9 } \times { 4 }^{ -12 } = { 4 }^{ 2+9-12 } = { 4 }^{ -1 }$$

Tasdiqlamoq

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 9 ni qo‘shib, 11 ni oling.

$$4^{11}\times 4^{-12}=4^{2+9-12}\text{ and }4^{2+9-12}=4^{-1}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 11 va -12 ni qo‘shib, -1 ni oling.

$$4^{-1}=4^{2+9-12}\text{ and }4^{2+9-12}=4^{-1}$$

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

$$\frac{1}{4}=4^{2+9-12}\text{ and }4^{2+9-12}=4^{-1}$$

11 olish uchun 2 va 9'ni qo'shing.

$$\frac{1}{4}=4^{11-12}\text{ and }4^{2+9-12}=4^{-1}$$

-1 olish uchun 11 dan 12 ni ayirish.

$$\frac{1}{4}=4^{-1}\text{ and }4^{2+9-12}=4^{-1}$$

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

$$\frac{1}{4}=\frac{1}{4}\text{ and }4^{2+9-12}=4^{-1}$$

\frac{1}{4} va \frac{1}{4} ni taqqoslang.

$$\text{true}\text{ and }4^{2+9-12}=4^{-1}$$

11 olish uchun 2 va 9'ni qo'shing.

$$\text{true}\text{ and }4^{11-12}=4^{-1}$$

-1 olish uchun 11 dan 12 ni ayirish.

$$\text{true}\text{ and }4^{-1}=4^{-1}$$

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

$$\text{true}\text{ and }\frac{1}{4}=4^{-1}$$

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

$$\text{true}\text{ and }\frac{1}{4}=\frac{1}{4}$$

\frac{1}{4} va \frac{1}{4} ni taqqoslang.

$$\text{true}\text{ and }\text{true}$$

\text{true} va \text{true} birlashmasi \text{true} ga teng.

$$\text{true}$$