(12u^-2y^2z^-1)^3 eching

$$( 12 u ^ { - 2 } y ^ { 2 } z ^ { - 1 } ) ^ { 3 }$$

Baholash

$$\frac{1728\times \left(\frac{y}{u}\right)^{6}}{z^{3}}$$

Oshib boruvchi koʻpaytmadan tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(12u^{-2}y^{2}\times \frac{1}{z}\right)^{3}$$

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

$$12^{3}\left(u^{-2}\right)^{3}\left(y^{2}\right)^{3}\times \left(\frac{1}{z}\right)^{3}$$

12 ni 3 daraja ko'rsatgichiga oshirish.

$$1728\left(u^{-2}\right)^{3}\left(y^{2}\right)^{3}\times \left(\frac{1}{z}\right)^{3}$$

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

$$1728u^{-2\times 3}y^{2\times 3}z^{-3}$$

-2 ni 3 marotabaga ko'paytirish.

$$1728\times \frac{1}{u^{6}}y^{2\times 3}z^{-3}$$

2 ni 3 marotabaga ko'paytirish.

$$1728\times \frac{1}{u^{6}}y^{6}z^{-3}$$

-1 ni 3 marotabaga ko'paytirish.

$$1728\times \frac{1}{u^{6}}y^{6}\times \frac{1}{z^{3}}$$

Kengaytirish

$$\frac{1728\times \left(\frac{y}{u}\right)^{6}}{z^{3}}$$

Oshib boruvchi koʻpaytmadan tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(12u^{-2}y^{2}\times \frac{1}{z}\right)^{3}$$

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

$$12^{3}\left(u^{-2}\right)^{3}\left(y^{2}\right)^{3}\times \left(\frac{1}{z}\right)^{3}$$

12 ni 3 daraja ko'rsatgichiga oshirish.

$$1728\left(u^{-2}\right)^{3}\left(y^{2}\right)^{3}\times \left(\frac{1}{z}\right)^{3}$$

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

$$1728u^{-2\times 3}y^{2\times 3}z^{-3}$$

-2 ni 3 marotabaga ko'paytirish.

$$1728\times \frac{1}{u^{6}}y^{2\times 3}z^{-3}$$

2 ni 3 marotabaga ko'paytirish.

$$1728\times \frac{1}{u^{6}}y^{6}z^{-3}$$

-1 ni 3 marotabaga ko'paytirish.

$$1728\times \frac{1}{u^{6}}y^{6}\times \frac{1}{z^{3}}$$