(2^4+3^-5)^-2 eching

$$( 2 ^ { 4 } + 3 ^ { - 5 } ) ^ { - 2 }$$

Baholash

$$\frac{59049}{15124321}\approx 0,003904241$$

Yechim qadamlari

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\left(16+3^{-5}\right)^{-2}$$

-5 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{243} ni qiymatni oling.

$$\left(16+\frac{1}{243}\right)^{-2}$$

\frac{3889}{243} olish uchun 16 va \frac{1}{243}'ni qo'shing.

$$\left(\frac{3889}{243}\right)^{-2}$$

-2 daraja ko‘rsatkichini \frac{3889}{243} ga hisoblang va \frac{59049}{15124321} ni qiymatni oling.

$$\frac{59049}{15124321}$$

Omil

$$\frac{3 ^ {10}}{3889 ^ {2}} = 0,0039042413871009482$$