{left(54x^-3y^9z^3right)}^frac{1{3}} eching

$${ \left(54 { x }^{ -3 } { y }^{ 9 } { z }^{ 3 } \right) }^{ \frac{ 1 }{ 3 } }$$

Baholash

$$\frac{3\sqrt[3]{2}zy^{3}}{x}$$

Oshib boruvchi koʻpaytmadan tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\sqrt[3]{54x^{-3}y^{9}z^{3}}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$\sqrt[3]{54}\sqrt[3]{x^{-3}}\sqrt[3]{y^{9}}\sqrt[3]{z^{3}}$$

54 ni \frac{1}{3} daraja ko'rsatgichiga oshirish.

$$3\sqrt[3]{2}\sqrt[3]{x^{-3}}\sqrt[3]{y^{9}}\sqrt[3]{z^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$3\sqrt[3]{2}x^{-3\times \frac{1}{3}}y^{9\times \frac{1}{3}}z^{3\times \frac{1}{3}}$$

-3 ni \frac{1}{3} marotabaga ko'paytirish.

$$3\sqrt[3]{2}\times \frac{1}{x}y^{9\times \frac{1}{3}}z^{3\times \frac{1}{3}}$$

9 ni \frac{1}{3} marotabaga ko'paytirish.

$$3\sqrt[3]{2}\times \frac{1}{x}y^{3}z^{3\times \frac{1}{3}}$$

3 ni \frac{1}{3} marotabaga ko'paytirish.

$$3\sqrt[3]{2}\times \frac{1}{x}y^{3}z$$

x ga nisbatan hosilani topish

$$-\frac{3\sqrt[3]{2}zy^{3}}{x^{2}}$$