(sqrt{(-5)^2}+sqrt[3]{(-3)^3})*sqrt{2^frac{1{3}}*2^-frac{7{3}}} eching

$$( \sqrt { ( - 5 ) ^ { 2 } } + \sqrt[ 3 ] { ( - 3 ) ^ { 3 } } ) \cdot \sqrt { 2 ^ { \frac { 1 } { 3 } } \cdot 2 ^ { - \frac { 7 } { 3 } } }$$

Baholash

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Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. \frac{1}{3} va -\frac{7}{3} ni qo‘shib, -2 ni oling.

$$\left(\sqrt{\left(-5\right)^{2}}+\sqrt[3]{\left(-3\right)^{3}}\right)\sqrt{2^{-2}}$$

2 daraja ko‘rsatkichini -5 ga hisoblang va 25 ni qiymatni oling.

$$\left(\sqrt{25}+\sqrt[3]{\left(-3\right)^{3}}\right)\sqrt{2^{-2}}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$\left(5+\sqrt[3]{\left(-3\right)^{3}}\right)\sqrt{2^{-2}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\left(5+\sqrt[3]{-27}\right)\sqrt{2^{-2}}$$

\sqrt[3]{-27} ni hisoblab, -3 natijasiga ega bo‘ling.

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

2 olish uchun 5 dan 3 ni ayirish.

$$2\sqrt{2^{-2}}$$

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

$$2\sqrt{\frac{1}{4}}$$

\frac{1}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$2\times \frac{1}{2}$$

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

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Omil

$$1$$