(-7/11)^13*(-7/11)^8=(-7/11)^13 eching

$$( \frac { - 7 } { 11 } ) ^ { 13 } \times ( \frac { - 7 } { 11 } ) ^ { 8 } = ( \frac { - 7 } { 11 } ) ^ { 13 }$$

Tasdiqlamoq

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 13 va 8 ni qo‘shib, 21 ni oling.

$$\left(\frac{-7}{11}\right)^{21}=\left(\frac{-7}{11}\right)^{13}$$

\frac{-7}{11} kasri manfiy belgini olib tashlash bilan -\frac{7}{11} sifatida qayta yozilishi mumkin.

$$\left(-\frac{7}{11}\right)^{21}=\left(\frac{-7}{11}\right)^{13}$$

21 daraja ko‘rsatkichini -\frac{7}{11} ga hisoblang va -\frac{558545864083284007}{7400249944258160101211} ni qiymatni oling.

$$-\frac{558545864083284007}{7400249944258160101211}=\left(\frac{-7}{11}\right)^{13}$$

\frac{-7}{11} kasri manfiy belgini olib tashlash bilan -\frac{7}{11} sifatida qayta yozilishi mumkin.

$$-\frac{558545864083284007}{7400249944258160101211}=\left(-\frac{7}{11}\right)^{13}$$

13 daraja ko‘rsatkichini -\frac{7}{11} ga hisoblang va -\frac{96889010407}{34522712143931} ni qiymatni oling.

$$-\frac{558545864083284007}{7400249944258160101211}=-\frac{96889010407}{34522712143931}$$

7400249944258160101211 va 34522712143931 ning eng kichik umumiy karralisi 7400249944258160101211 ga teng. -\frac{558545864083284007}{7400249944258160101211} va -\frac{96889010407}{34522712143931} ni 7400249944258160101211 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{558545864083284007}{7400249944258160101211}=-\frac{20769019852041874567}{7400249944258160101211}$$

-\frac{558545864083284007}{7400249944258160101211} va -\frac{20769019852041874567}{7400249944258160101211} ni taqqoslang.

$$\text{false}$$