3^-2(5^-3)/9^7125^-4 eching

$$\frac{ { 3 }^{ -2 } ( { 5 }^{ -3 } ) }{ { 9 }^{ 7 } { 125 }^{ -4 } }$$

Baholash

$$\frac{1953125}{43046721}\approx 0,045372213$$

Yechim qadamlari

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{9}\times 5^{-3}}{9^{7}\times 125^{-4}}$$

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

$$\frac{\frac{1}{9}\times \frac{1}{125}}{9^{7}\times 125^{-4}}$$

\frac{1}{1125} hosil qilish uchun \frac{1}{9} va \frac{1}{125} ni ko'paytirish.

$$\frac{\frac{1}{1125}}{9^{7}\times 125^{-4}}$$

7 daraja ko‘rsatkichini 9 ga hisoblang va 4782969 ni qiymatni oling.

$$\frac{\frac{1}{1125}}{4782969\times 125^{-4}}$$

-4 daraja ko‘rsatkichini 125 ga hisoblang va \frac{1}{244140625} ni qiymatni oling.

$$\frac{\frac{1}{1125}}{4782969\times \frac{1}{244140625}}$$

\frac{4782969}{244140625} hosil qilish uchun 4782969 va \frac{1}{244140625} ni ko'paytirish.

$$\frac{\frac{1}{1125}}{\frac{4782969}{244140625}}$$

\frac{1}{1125} ni \frac{4782969}{244140625} ga bo'lish \frac{1}{1125} ga k'paytirish \frac{4782969}{244140625} ga qaytarish.

$$\frac{1}{1125}\times \frac{244140625}{4782969}$$

\frac{1953125}{43046721} hosil qilish uchun \frac{1}{1125} va \frac{244140625}{4782969} ni ko'paytirish.

$$\frac{1953125}{43046721}$$

Omil

$$\frac{5 ^ {9}}{3 ^ {16}} = 0,045372213135583546$$