3^-5+1/3^5+3^-4/3? eching

$$3 ^ { - 5 } + \frac { 1 } { 3 ^ { 5 } } + \frac { 3 ^ { - 4 } } { 3 } ?$$

Baholash

$$\frac{1}{81}\approx 0,012345679$$

Yechim qadamlari

3 ni 3^{-4}\times 3^{5} sifatida qaytadan yozish. Surat va maxrajdagi ikkala 3^{-4} ni qisqartiring.

$$3^{-5}+\frac{1}{3^{5}}+\frac{1}{3^{5}}$$

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

$$\frac{1}{243}+\frac{1}{3^{5}}+\frac{1}{3^{5}}$$

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

$$\frac{1}{243}+\frac{1}{243}+\frac{1}{3^{5}}$$

\frac{2}{243} olish uchun \frac{1}{243} va \frac{1}{243}'ni qo'shing.

$$\frac{2}{243}+\frac{1}{3^{5}}$$

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

$$\frac{2}{243}+\frac{1}{243}$$

\frac{1}{81} olish uchun \frac{2}{243} va \frac{1}{243}'ni qo'shing.

$$\frac{1}{81}$$

Omil

$$\frac{1}{3 ^ {4}} = 0,012345679012345678$$