(3^{2})^3*(2*3^5)^-2*(18)^2 eching

$$( 3 ^ { 2 } ) ^ { 3 } \times ( 2 \times 3 ^ { 5 } ) ^ { - 2 } \times ( 18 ) ^ { 2 }$$

Baholash

$$1$$

Yechim qadamlari

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

$$3^{6}\times \left(2\times 3^{5}\right)^{-2}\times 18^{2}$$

6 daraja ko‘rsatkichini 3 ga hisoblang va 729 ni qiymatni oling.

$$729\times \left(2\times 3^{5}\right)^{-2}\times 18^{2}$$

5 daraja ko‘rsatkichini 3 ga hisoblang va 243 ni qiymatni oling.

$$729\times \left(2\times 243\right)^{-2}\times 18^{2}$$

486 hosil qilish uchun 2 va 243 ni ko'paytirish.

$$729\times 486^{-2}\times 18^{2}$$

-2 daraja ko‘rsatkichini 486 ga hisoblang va \frac{1}{236196} ni qiymatni oling.

$$729\times \frac{1}{236196}\times 18^{2}$$

\frac{1}{324} hosil qilish uchun 729 va \frac{1}{236196} ni ko'paytirish.

$$\frac{1}{324}\times 18^{2}$$

2 daraja ko‘rsatkichini 18 ga hisoblang va 324 ni qiymatni oling.

$$\frac{1}{324}\times 324$$

1 hosil qilish uchun \frac{1}{324} va 324 ni ko'paytirish.

$$1$$

Omil

$$1$$