{left(7*7^-2/7^4right)}^2 eching

$${ \left( \frac{ 7 \times { 7 }^{ -2 } }{ { 7 }^{ 4 } } \right) }^{ 2 }$$

Baholash

$$\frac{1}{282475249}\approx 3,540133175 \cdot 10^{-9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -2 ni qo‘shib, -1 ni oling.

$$\left(\frac{7^{-1}}{7^{4}}\right)^{2}$$

7^{4} ni 7^{-1}\times 7^{5} sifatida qaytadan yozish. Surat va maxrajdagi ikkala 7^{-1} ni qisqartiring.

$$\left(\frac{1}{7^{5}}\right)^{2}$$

5 daraja ko‘rsatkichini 7 ga hisoblang va 16807 ni qiymatni oling.

$$\left(\frac{1}{16807}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{1}{16807} ga hisoblang va \frac{1}{282475249} ni qiymatni oling.

$$\frac{1}{282475249}$$

Omil

$$\frac{1}{7 ^ {10}} = 3,540133174641435 \times 10^{-9}$$