4/(216)^frac{-2{3}}+1/(256)^frac{-3{4}}+2/(243)^frac{-1{5}} eching

$$\frac { 4 } { ( 216 ) ^ { \frac { - 2 } { 3 } } } + \frac { 1 } { ( 256 ) ^ { \frac { - 3 } { 4 } } } + \frac { 2 } { ( 243 ) ^ { \frac { - 1 } { 5 } } }$$

Baholash

$$214$$

Yechim qadamlari

\frac{-2}{3} kasri manfiy belgini olib tashlash bilan -\frac{2}{3} sifatida qayta yozilishi mumkin.

$$\frac{4}{216^{-\frac{2}{3}}}+\frac{1}{256^{\frac{-3}{4}}}+\frac{2}{243^{\frac{-1}{5}}}$$

-\frac{2}{3} daraja ko‘rsatkichini 216 ga hisoblang va \frac{1}{36} ni qiymatni oling.

$$\frac{4}{\frac{1}{36}}+\frac{1}{256^{\frac{-3}{4}}}+\frac{2}{243^{\frac{-1}{5}}}$$

4 ni \frac{1}{36} ga bo'lish 4 ga k'paytirish \frac{1}{36} ga qaytarish.

$$4\times 36+\frac{1}{256^{\frac{-3}{4}}}+\frac{2}{243^{\frac{-1}{5}}}$$

144 hosil qilish uchun 4 va 36 ni ko'paytirish.

$$144+\frac{1}{256^{\frac{-3}{4}}}+\frac{2}{243^{\frac{-1}{5}}}$$

\frac{-3}{4} kasri manfiy belgini olib tashlash bilan -\frac{3}{4} sifatida qayta yozilishi mumkin.

$$144+\frac{1}{256^{-\frac{3}{4}}}+\frac{2}{243^{\frac{-1}{5}}}$$

-\frac{3}{4} daraja ko‘rsatkichini 256 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$144+\frac{1}{\frac{1}{64}}+\frac{2}{243^{\frac{-1}{5}}}$$

1 ni \frac{1}{64} ga bo'lish 1 ga k'paytirish \frac{1}{64} ga qaytarish.

$$144+1\times 64+\frac{2}{243^{\frac{-1}{5}}}$$

64 hosil qilish uchun 1 va 64 ni ko'paytirish.

$$144+64+\frac{2}{243^{\frac{-1}{5}}}$$

208 olish uchun 144 va 64'ni qo'shing.

$$208+\frac{2}{243^{\frac{-1}{5}}}$$

\frac{-1}{5} kasri manfiy belgini olib tashlash bilan -\frac{1}{5} sifatida qayta yozilishi mumkin.

$$208+\frac{2}{243^{-\frac{1}{5}}}$$

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

$$208+\frac{2}{\frac{1}{3}}$$

2 ni \frac{1}{3} ga bo'lish 2 ga k'paytirish \frac{1}{3} ga qaytarish.

$$208+2\times 3$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$208+6$$

214 olish uchun 208 va 6'ni qo'shing.

$$214$$

Omil

$$2\times 107$$