(16)^frac{1{4}}6(343)^frac{1{3}}+18*(243)^frac{1{5}}-sqrt{196} eching

$$( 16 ) ^ { \frac { 1 } { 4 } } 6 ( 343 ) ^ { \frac { 1 } { 3 } } + 18 \times ( 243 ) ^ { \frac { 1 } { 5 } } - \sqrt { 196 }$$

Baholash

$$124$$

Yechim qadamlari

\frac{1}{4} daraja ko‘rsatkichini 16 ga hisoblang va 2 ni qiymatni oling.

$$2\times 6\times 343^{\frac{1}{3}}+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

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

$$12\times 343^{\frac{1}{3}}+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

\frac{1}{3} daraja ko‘rsatkichini 343 ga hisoblang va 7 ni qiymatni oling.

$$12\times 7+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

84 hosil qilish uchun 12 va 7 ni ko'paytirish.

$$84+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

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

$$84+18\times 3-\sqrt{196}$$

54 hosil qilish uchun 18 va 3 ni ko'paytirish.

$$84+54-\sqrt{196}$$

138 olish uchun 84 va 54'ni qo'shing.

$$138-\sqrt{196}$$

196 ning kvadrat ildizini hisoblab, 14 natijaga ega bo‘ling.

$$138-14$$

124 olish uchun 138 dan 14 ni ayirish.

$$124$$

Omil

$$2^{2}\times 31$$