frac{[(125)^{-2}*8^{-3}]^{-1}}{[25^{3}*16]^{-2}}div[5^-3*3^2-1]^-1/[64*25]^2 eching

$$\frac { [ ( 125 ) ^ { - 2 } \cdot 8 ^ { - 3 } ] ^ { - 1 } } { [ 25 ^ { 3 } \cdot 16 ] ^ { - 2 } } \div \frac { [ 5 ^ { - 3 } \cdot 3 ^ { 2 } - 1 ] ^ { - 1 } } { [ 64 \cdot 25 ] ^ { 2 } }$$

Baholash

$$-1187840000000000000000000$$

Yechim qadamlari

\frac{\left(125^{-2}\times 8^{-3}\right)^{-1}}{\left(25^{3}\times 16\right)^{-2}} ni \frac{\left(5^{-3}\times 3^{2}-1\right)^{-1}}{\left(64\times 25\right)^{2}} ga bo'lish \frac{\left(125^{-2}\times 8^{-3}\right)^{-1}}{\left(25^{3}\times 16\right)^{-2}} ga k'paytirish \frac{\left(5^{-3}\times 3^{2}-1\right)^{-1}}{\left(64\times 25\right)^{2}} ga qaytarish.

$$\frac{\left(125^{-2}\times 8^{-3}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

-2 daraja ko‘rsatkichini 125 ga hisoblang va \frac{1}{15625} ni qiymatni oling.

$$\frac{\left(\frac{1}{15625}\times 8^{-3}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

-3 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{512} ni qiymatni oling.

$$\frac{\left(\frac{1}{15625}\times \frac{1}{512}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

\frac{1}{8000000} hosil qilish uchun \frac{1}{15625} va \frac{1}{512} ni ko'paytirish.

$$\frac{\left(\frac{1}{8000000}\right)^{-1}\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

-1 daraja ko‘rsatkichini \frac{1}{8000000} ga hisoblang va 8000000 ni qiymatni oling.

$$\frac{8000000\times \left(64\times 25\right)^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

1600 hosil qilish uchun 64 va 25 ni ko'paytirish.

$$\frac{8000000\times 1600^{2}}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

2 daraja ko‘rsatkichini 1600 ga hisoblang va 2560000 ni qiymatni oling.

$$\frac{8000000\times 2560000}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

20480000000000 hosil qilish uchun 8000000 va 2560000 ni ko'paytirish.

$$\frac{20480000000000}{\left(25^{3}\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

3 daraja ko‘rsatkichini 25 ga hisoblang va 15625 ni qiymatni oling.

$$\frac{20480000000000}{\left(15625\times 16\right)^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

250000 hosil qilish uchun 15625 va 16 ni ko'paytirish.

$$\frac{20480000000000}{250000^{-2}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

-2 daraja ko‘rsatkichini 250000 ga hisoblang va \frac{1}{62500000000} ni qiymatni oling.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(5^{-3}\times 3^{2}-1\right)^{-1}}$$

-3 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{125} ni qiymatni oling.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(\frac{1}{125}\times 3^{2}-1\right)^{-1}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(\frac{1}{125}\times 9-1\right)^{-1}}$$

\frac{9}{125} hosil qilish uchun \frac{1}{125} va 9 ni ko'paytirish.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(\frac{9}{125}-1\right)^{-1}}$$

-\frac{116}{125} olish uchun \frac{9}{125} dan 1 ni ayirish.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(-\frac{116}{125}\right)^{-1}}$$

-1 daraja ko‘rsatkichini -\frac{116}{125} ga hisoblang va -\frac{125}{116} ni qiymatni oling.

$$\frac{20480000000000}{\frac{1}{62500000000}\left(-\frac{125}{116}\right)}$$

-\frac{1}{58000000000} hosil qilish uchun \frac{1}{62500000000} va -\frac{125}{116} ni ko'paytirish.

$$\frac{20480000000000}{-\frac{1}{58000000000}}$$

20480000000000 ni -\frac{1}{58000000000} ga bo'lish 20480000000000 ga k'paytirish -\frac{1}{58000000000} ga qaytarish.

$$20480000000000\left(-58000000000\right)$$

-1187840000000000000000000 hosil qilish uchun 20480000000000 va -58000000000 ni ko'paytirish.

$$-1187840000000000000000000$$

Omil

$$-1187840000000000000000000$$