frac{(10^{3})^{2}div10^{3^{3}}}{(10^2)^3div10^2^3} eching

$$\frac { ( 10 ^ { 3 } ) ^ { 2 } \div 10 ^ { 3 ^ { 3 } } } { ( 10 ^ { 2 } ) ^ { 3 } \div 10 ^ { 2 ^ { 3 } } }$$

Baholash

$$\frac{1}{10000000000000000000}= 10^{-19}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$\frac{\frac{10^{6}}{10^{3^{3}}}}{\frac{\left(10^{2}\right)^{3}}{10^{2^{3}}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{\frac{10^{6}}{10^{3^{3}}}}{\frac{10^{6}}{10^{2^{3}}}}$$

\frac{10^{6}}{10^{3^{3}}} ni \frac{10^{6}}{10^{2^{3}}} ga bo'lish \frac{10^{6}}{10^{3^{3}}} ga k'paytirish \frac{10^{6}}{10^{2^{3}}} ga qaytarish.

$$\frac{10^{6}\times 10^{2^{3}}}{10^{3^{3}}\times 10^{6}}$$

Surat va maxrajdagi ikkala 10^{6} ni qisqartiring.

$$\frac{10^{2^{3}}}{10^{3^{3}}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{10^{8}}{10^{3^{3}}}$$

8 daraja ko‘rsatkichini 10 ga hisoblang va 100000000 ni qiymatni oling.

$$\frac{100000000}{10^{3^{3}}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{100000000}{10^{27}}$$

27 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000000000000000000000 ni qiymatni oling.

$$\frac{100000000}{1000000000000000000000000000}$$

\frac{100000000}{1000000000000000000000000000} ulushini 100000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{10000000000000000000}$$

Omil

$$\frac{1}{2 ^ {19} \cdot 5 ^ {19}} = 1 \times 10^{-19}$$