[(27^-1)^3]^4= eching

$$[ ( 27 ^ { - 1 } ) ^ { 3 } ] ^ { 4 } =$$

Baholash

$$\frac{1}{150094635296999121}\approx 6,662463305 \cdot 10^{-18}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 3 ni ko‘paytirib, -3 ni oling.

$$\left(27^{-3}\right)^{4}$$

-3 daraja ko‘rsatkichini 27 ga hisoblang va \frac{1}{19683} ni qiymatni oling.

$$\left(\frac{1}{19683}\right)^{4}$$

4 daraja ko‘rsatkichini \frac{1}{19683} ga hisoblang va \frac{1}{150094635296999121} ni qiymatni oling.

$$\frac{1}{150094635296999121}$$

Omil

$$\frac{1}{3 ^ {36}} = 6,662463305375666 \times 10^{-18}$$