frac{(-7)^{3}*7^{4}*(-49)^2}{7^4*(-7^3)^6}= eching

$$\frac { ( - 7 ) ^ { 3 } \times 7 ^ { 4 } \times ( - 49 ) ^ { 2 } } { 7 ^ { 4 } \times ( - 7 ^ { 3 } ) ^ { 6 } } =$$

Baholash

$$-\frac{1}{1977326743}\approx -5,057333107 \cdot 10^{-10}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 7^{4} ni qisqartiring.

$$\frac{\left(-49\right)^{2}\left(-7\right)^{3}}{\left(-7^{3}\right)^{6}}$$

2 daraja ko‘rsatkichini -49 ga hisoblang va 2401 ni qiymatni oling.

$$\frac{2401\left(-7\right)^{3}}{\left(-7^{3}\right)^{6}}$$

3 daraja ko‘rsatkichini -7 ga hisoblang va -343 ni qiymatni oling.

$$\frac{2401\left(-343\right)}{\left(-7^{3}\right)^{6}}$$

-823543 hosil qilish uchun 2401 va -343 ni ko'paytirish.

$$\frac{-823543}{\left(-7^{3}\right)^{6}}$$

3 daraja ko‘rsatkichini 7 ga hisoblang va 343 ni qiymatni oling.

$$\frac{-823543}{\left(-343\right)^{6}}$$

6 daraja ko‘rsatkichini -343 ga hisoblang va 1628413597910449 ni qiymatni oling.

$$\frac{-823543}{1628413597910449}$$

\frac{-823543}{1628413597910449} ulushini 823543 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{1977326743}$$

Omil

$$-\frac{1}{1977326743} = -5,057333106630622 \times 10^{-10}$$