8^5*8^18*8^-9/8^6= eching

$$8 ^ { 5 } \cdot 8 ^ { 18 } \cdot \frac { 8 ^ { - 9 } } { 8 ^ { 6 } } =$$

Baholash

$$16777216$$

Yechim qadamlari

8^{6} ni 8^{-9}\times 8^{15} sifatida qaytadan yozish. Surat va maxrajdagi ikkala 8^{-9} ni qisqartiring.

$$8^{5}\times 8^{18}\times \frac{1}{8^{15}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 18 ni qo‘shib, 23 ni oling.

$$8^{23}\times \frac{1}{8^{15}}$$

23 daraja ko‘rsatkichini 8 ga hisoblang va 590295810358705651712 ni qiymatni oling.

$$590295810358705651712\times \frac{1}{8^{15}}$$

15 daraja ko‘rsatkichini 8 ga hisoblang va 35184372088832 ni qiymatni oling.

$$590295810358705651712\times \frac{1}{35184372088832}$$

16777216 hosil qilish uchun 590295810358705651712 va \frac{1}{35184372088832} ni ko'paytirish.

$$16777216$$

Omil

$$2^{24}$$